Geometry on surfaces, a source for mathematical developments. (English) Zbl 07918839
Papadopoulos, Athanase (ed.), Surveys in geometry II. Cham: Springer. 7-70 (2024).
Found 315 Documents (Results 1–100)
Thurston’s broken windows only theorem revisited. (English) Zbl 07918555
Ohshika, Ken’ichi (ed.) et al., In the tradition of Thurston III. Geometry and dynamics. Cham: Springer. 275-297 (2024).
Reviewer: Bruno Zimmermann (Trieste)
On branched coverings of singular \((G, X)\)-manifolds. (English) Zbl 07813352
MSC:
57S20
57N16
57M10
57M12
57K35
57K20
57M30
57M50
53B30
57M60
53C50
83C75
57R45
58D17
14R20
14R05
53B05
Orbifolds, the regular solids, and Hurwitz’s \(84(g - 1)\) theorem. (English) Zbl 1521.30050
Reviewer: Samyon R. Nasyrov (Kazan)
Some remarks on the Gehring-Hayman theorem. (English) Zbl 1534.53049
Reviewer: Sylvester Eriksson-Bique (Jyväskylä)
Canonical parametrizations of metric surfaces of higher topology. (English) Zbl 1534.30011
Reviewer: Sylvester Eriksson-Bique (Jyväskylä)
On dynamical gaskets generated by rational maps, Kleinian groups, and Schwarz reflections. (English) Zbl 1517.37055
Reviewer: Yongquan Zhang (Stony Brook)
On deformation space analogies between Kleinian reflection groups and antiholomorphic rational maps. (English) Zbl 1521.37045
Reviewer: Biao Ma (Haifa)
Combination theorems in groups, geometry and dynamics. (English) Zbl 1504.57039
Ohshika, Ken’ichi (ed.) et al., In the tradition of Thurston II. Geometry and groups. Cham: Springer. 331-383 (2022).
A characterization of complex quasi-projective manifolds uniformized by unit balls. (English) Zbl 1498.14022
Reviewer: Yuguang Zhang (Beijing)
Parameterized discrete uniformization theorems and curvature flows for polyhedral surfaces. II. (English) Zbl 1493.32011
The structure of extended function groups. (English. French summary) Zbl 1492.30088
Reviewer: Samyon R. Nasyrov (Kazan)
Contractibility results for certain spaces of Riemannian metrics on the disc. (English) Zbl 1479.58009
Reviewer: Nicolai K. Smolentsev (Kemerovo)
Nearly Fuchsian surface subgroups of finite covolume Kleinian groups. (English) Zbl 1469.57022
Reviewer: Athanase Papadopoulos (Strasbourg)
Bounded geometry and \(p\)-harmonic functions under uniformization and hyperbolization. (English) Zbl 1466.53048
A symmetric Markov coding and the ergodic theorem for actions of Fuchsian groups. (English) Zbl 1511.20201
Geometry and topology of geometric limits. I. (English) Zbl 1480.57028
Ohshika, Ken’ichi (ed.) et al., In the tradition of Thurston. Geometry and topology. Cham: Springer. 291-363 (2020).
Reviewer: Bruno Zimmermann (Trieste)
de Branges spaces on compact Riemann surfaces and a Beurling-Lax type theorem. (English) Zbl 1519.47011
Reviewer: Jaydeb Sarkar (Bangalore)
Ideal polyhedral surfaces in Fuchsian manifolds. (English) Zbl 1440.57027
Reviewer: Joonhyung Kim (Jeonju)
A formal Riemannian structure on conformal classes and the inverse Gauss curvature flow. (English) Zbl 1439.58008
Reviewer: Nicolai K. Smolentsev (Kemerovo)
Foundations of hyperbolic manifolds. 3rd expanded edition. (English) Zbl 1430.51002
Graduate Texts in Mathematics 149. Cham: Springer (ISBN 978-3-030-31596-2/hbk; 978-3-030-31597-9/ebook). xii, 800 p. (2019).
Reviewer: Victor V. Pambuccian (Glendale)
Roots and rational powers in \(\mathrm{PSL}(2,\mathbb {R})\) and discreteness. (English) Zbl 1421.30056
Convergence of discrete conformal geometry and computation of uniformization maps. (English) Zbl 1418.30041
Second main theorem for holomorphic maps from annuli into compact Riemann surfaces. (Chinese. English summary) Zbl 1424.32020
Kodaira dimension of algebraic fiber spaces over surfaces. (English) Zbl 1435.14016
Reviewer: Juanyong Wang (Palaiseau)
Algebraic flows on abelian varieties. (English) Zbl 1408.14140
Reviewer: G. K. Sankaran (Bath)
Ricci flow on cone surfaces. (English) Zbl 1398.53077
Reviewer: Jia-Yong Wu (Shanghai)
MSC:
53C44
The Riemann-Roch theorem. (English) Zbl 1456.30075
Ji, Lizhen (ed.) et al., From Riemann to differential geometry and relativity. Cham: Springer. 389-411 (2017).
MSC:
30F10
The Riemann mapping theorem and its discrete counterparts. (English) Zbl 1391.52031
Ji, Lizhen (ed.) et al., From Riemann to differential geometry and relativity. Cham: Springer (ISBN 978-3-319-60038-3/hbk; 978-3-319-60039-0/ebook). 367-388 (2017).
Reviewer: Robert W. van der Waall (Amsterdam)
Measurable rigidity for Kleinian groups. (English) Zbl 1379.37090
Reviewer: Tao Chen (Long Island City)
Triangle groups and maps. (English) Zbl 1369.30043
Širáň, Jozef (ed.) et al., Symmetries in graphs, maps, and polytopes. 5th SIGMAP workshop, West Malvern, UK, July 7–11, 2014. Cham: Springer (ISBN 978-3-319-30449-6/hbk; 978-3-319-30451-9/ebook). Springer Proceedings in Mathematics & Statistics 159, 301-313 (2016).
Reviewer: Ernesto Martínez (Madrid)
Riemann’s existence theorem. (English) Zbl 1358.01033
Ji, Lizhen (ed.) et al., The legacy of Bernhard Riemann after one hundred and fifty years. Volume I. Somerville, MA: International Press; Beijing: Higher Education Press (ISBN 978-1-57146-318-0/pbk; 978-1-57146-316-6/set). Advanced Lectures in Mathematics (ALM) 35, 1, 275-286 (2016).
Measurable Riemann mappings. (English) Zbl 1361.30083
Keen, Linda (ed.) et al., Lipman Bers, a life in mathematics. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-2056-7/pbk). 75-89 (2015).
Connectivity and dimension of the \(p\)-locus in moduli space. (English) Zbl 1346.14072
Izquierdo, Milagros (ed.) et al., Riemann and Klein surfaces, automorphisms, symmetries and moduli spaces. Conference in honour of Emilio Bujalance, Linköping, Sweden, June 24–28, 2013. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-1093-3/pbk; 978-1-4704-2058-1/ebook). Contemporary Mathematics 629, 189-202 (2015).
On the period map of a variation of Hodge structures attached to a family of simple hypersurface singularities. (Sur l’application des périodes d’une variation de structure de Hodge attachée aux familles d’hypersurfaces à singularités simples.) (French) Zbl 1332.14016
Reviewer: Vladimir P. Kostov (Nice)
Uniformization in superstructures over some extensions of \(\mathbb{R}\). (English. Russian original) Zbl 1371.03045
Algebra Logic 54, No. 4, 273-278 (2015); translation from Algebra Logika 54, No. 4, 431-438 (2015).
Uniformization and index of elliptic operators associated with diffeomorphisms of a manifold. (English) Zbl 1329.58022
MSC:
58J26
Classical provability of uniform versions and intuitionistic provability. (English) Zbl 1367.03108
Reviewer: Mladen Vuković (Zagreb)
The uniformization problem for \(\Sigma\)-predicates in a hereditarily finite list superstructure over the real exponential field. (English. Russian original) Zbl 1323.03043
Algebra Logic 53, No. 1, 1-8 (2014); translation from Algebra Logika 53, No. 1, 3-14 (2014).
Limit set intersection theorems for Kleinian groups and a conjecture of Susskind. (English) Zbl 1316.30043
Reviewer: Ernesto Martínez (Madrid)
Book review of: Benson Farb and Dan Margalit, A primer on mapping class groups. (English) Zbl 1301.00024
Book review of: Benson Farb and Dan Margalit, A primer on mapping class groups. (English) Zbl 1305.00019
Microlocal limits of plane waves and Eisenstein functions. (Limites microlocales des ondes planes et les fonctions d’Eisenstein.) (English. French summary) Zbl 1297.58007
Reviewer: Peter B. Gilkey (Eugene)
A course in complex analysis and Riemann surfaces. (English) Zbl 1326.30003
Graduate Studies in Mathematics 154. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-9847-5/hbk). xv, 384 p. (2014).
Reviewer: Samyon R. Nasyrov (Kazan’)
Ricci flow on open surface. (English) Zbl 1301.53067
MSC:
53C44
30F10
There is no triangulation of the torus with vertex degrees \(5, 6, \dots , 6, 7\) and related results: geometric proofs for combinatorial theorems. (English) Zbl 1275.05015
\(\mathrm U(n)\)-invariant Kähler-Ricci flow with non-negative curvature. (English) Zbl 1275.53064
Reviewer: Yoshinobu Kamishima (Hachioji)
An axiomatic version of Zariski’s patching theorem. (English) Zbl 1267.14021
Reviewer: Aleksandr G. Aleksandrov (Moskva)
Ricci flow on open surface. (English) Zbl 1263.53066
MSC:
53C44
30F10
On the sharp upper bound for the number of holomorphic mappings of Riemann surfaces of low genus. (English. Russian original) Zbl 1257.30043
Sib. Math. J. 53, No. 2, 259-273 (2012); translation from Sib. Mat. Zh. 53, No. 2, 325-344 (2012).
MSC:
30F10
Plane algebraic curves. Transl. from the German by John Stillwell. Reprint of the hardback ed. 1986. (English) Zbl 1254.14002
Modern Birkhäuser Classics. Basel: Birkhäuser (ISBN 978-3-0348-0492-9/pbk; 978-3-0348-0493-6/ebook). x, 721 p. (2012).
Reviewer: Franz Lemmermeyer (Jagstzell)
Introduction to compact Riemann surfaces and dessins d’enfants. (English) Zbl 1253.30001
London Mathematical Society Student Texts 79. Cambridge: Cambridge University Press (ISBN 978-0-521-74022-7/pbk; 978-0-521-51963-2/hbk). xii, 298 p. (2012).
Reviewer: Werner Kleinert (Berlin)
Kleinian group version of Torelli’s theorem. (English) Zbl 1256.30024
Reviewer: Wensheng Cao (Guangdong)
On decomposable rational maps. (English) Zbl 1298.37027
Reviewer: Yuefei Wang (Beijing)
On a class of nonlocal elliptic operators for compact Lie groups. Uniformization and finiteness theorem. (English) Zbl 1241.58012
Reviewer: Luigi Rodino (Torino)
A primer on mapping class groups. (English) Zbl 1245.57002
Princeton Mathematical Series 49. Princeton, NJ: Princeton University Press (ISBN 978-0-691-14794-9/hbk; 978-1-400-83904-9/ebook). xiv, 492 p. (2011).
Reviewer: Werner Kleinert (Berlin)
An introduction to Riemann surfaces. (English) Zbl 1237.30001
Cornerstones. New York, NY: Springer (ISBN 978-0-8176-4692-9/hbk; 978-0-8176-4693-6/ebook). xvii, 560 p. (2011).
Reviewer: V. V. Chueshev (Kemerovo)
Local topology in deformation spaces of hyperbolic 3-manifolds. (English) Zbl 1243.30084
Reviewer: Toshihiro Nakanishi (Matsue)
Mostly surfaces. (English) Zbl 1237.30002
Student Mathematical Library 60. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-5368-9/pbk). xiii, 314 p. (2011).
Reviewer: Alastair Fletcher (Coventry)
An effective bound for the Huber constant for cofinite Fuchsian groups. (English) Zbl 1229.11083
Reviewer: Jürgen Elstrodt (Münster)
Koebe’s general uniformisation theorem for planar Riemann surfaces. (English) Zbl 1222.30035
Reviewer: Dimitrios Betsakos (Thessaloniki)
MSC:
30F10
Classification up to equivalence of the holomorphic mappings of Riemann surfaces of low genus. (English. Russian original) Zbl 1218.14018
Sib. Math. J. 51, No. 6, 1091-1103 (2010); translation from Sib. Mat. Zh. 51, No. 6, 1379-1395 (2010).
Reviewer: V. V. Chueshev (Kemerovo)
Modulus of continuity, a Hardy-Littlewood theorem and its application. (English) Zbl 1220.30058
Reviewer: Eligiusz Złotkiewicz (Lublin)
MSC:
30F40
Conformal invariants. Topics in geometric function theory. With a new foreword by Peter Duren, F. W. Gehring, and Brad Osgood and an extensive errata. Reprint of 1973 original published by McGraw-Hill Company. (English) Zbl 1211.30002
Providence, RI: AMS Chelsea Publishing (ISBN 978-0-8218-5270-5/hbk). x, 160 p. (2010).
Reviewer: Vasily A. Chernecky (Odessa)
On gonality of Riemann surfaces. (English) Zbl 1213.14068
Reviewer: Ruben A. Hidalgo (Valparaiso)
Bounds on exceptional Dehn filling. II. (English) Zbl 1201.57011
Reviewer: Andrzej Szczepański (Gdańsk)
On irregular holomorphic mappings of a Riemann surface of genus four onto a Riemann surface of genus two. (Russian. English summary) Zbl 1249.30127
MSC:
30F10
Area theorem type inequality. (Russian. English summary) Zbl 1240.30200
Reviewer: Svetlana A. Grishina (Ulyanovsk)
Circle packings and combinatorial moduli. (Empilements de cercles et modules combinatoires.) (French. English summary) Zbl 1189.30080
Reviewer: Vasily A. Chernecky (Odessa)
The big Picard theorem and other results on Riemann surfaces. (English) Zbl 1182.30071
Reviewer: Vasily A. Chernecky (Odessa)
Abrahamse’s interpolation theorem and Fuchsian groups. (English) Zbl 1221.30083
Reviewer: Alexander Ivanovich Budkin (Barnaul)
Holomorphic mappings between compact Riemann surfaces. (English) Zbl 1163.32006
Reviewer: Dorina Raducanu (Brasov)
Simple proofs of uniformization theorems. (English) Zbl 1160.30005
Lyubich, Mikhail (ed.) et al., Holomorphic dynamics and renormalization. A volume in honour of John Milnor’s 75th birthday. Proceedings of the workshop on holomorphic dynamics, Toronto, Canada, March 7–11, 2006. Providence, RI: American Mathematical Society (AMS); Toronto: The Fields Institute for Research in Mathematical Sciences (ISBN 978-0-8218-4275-1/hbk). Fields Institute Communications 53, 125-143 (2008).
Reviewer: Erich Hoy (Friedberg)
Selection theorems and treeability. (English) Zbl 1154.03026
MSC:
03E15
Heat equations in geometry and topology. (English) Zbl 1151.53061
MSC:
53C44
53C21
The distribution of geodesic excursions into the neighborhood of a cone singularity on a hyperbolic 2-orbifold. (English) Zbl 1148.30024
Reviewer: Samuel James Patterson (Göttingen)
A Bowen type rigidity theorem for non-cocompact hyperbolic groups. (English) Zbl 1148.53032
Reviewer: Cezar Dumitru Oniciuc (Iaşi)
Computing general geometric structures on surfaces using Ricci flow. (English) Zbl 1206.65090
MSC:
65D18
A trace identity for parabolic elements of \(\mathrm{SL}(2,\mathbb C)\). (English) Zbl 1125.30035
Reviewer: Vasily A. Chernecky (Odessa)
Kleinian groups with discrete length spectrum. (English) Zbl 1126.57008
Reviewer: Darryl McCullough (Norman)
Spectral theory of infinite-area hyperbolic surfaces. (English) Zbl 1130.58001
Progress in Mathematics 256. Basel: Birkhäuser (ISBN 978-0-8176-4524-3/hbk; 978-0-8176-4653-0/ebook). xi, 355 p. (2007).
Reviewer: Peter B. Gilkey (Eugene)
On the existence of compact Riemann surface of minimum genus admitting \(\text{SL}_2(5)\) as its automorphism group. (English) Zbl 1115.30045
Reviewer: Samuel James Patterson (Göttingen)
MSC:
30F35
Variations on Belyi’s theorem. (English) Zbl 1123.14016
Reviewer: Jürgen Wolfart (Frankfurt/Main)
Discreteness criteria and algebraic convergence theorem for subgroups in \(\text{PU}(1,n;\mathbb C)\). (English) Zbl 1139.30324
A note on uniformization of Riemann surfaces by Ricci flow. (English) Zbl 1113.53042
Reviewer: Madathum K. Viswanath (Chennai)
MSC:
53C44
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