Isosystolic inequalities on two-dimensional Finsler tori. (English) Zbl 07927434
MSC:
53C23
Found 532 Documents (Results 1–100)
Supplement to “Metric characterization of projective-metric spaces”. (English) Zbl 07918845
Papadopoulos, Athanase (ed.), Surveys in geometry II. Cham: Springer. 257-269 (2024).
Metric characterizations of projective-metric spaces. (English) Zbl 07918844
Papadopoulos, Athanase (ed.), Surveys in geometry II. Cham: Springer. 225-256 (2024).
Introduction. (English) Zbl 07918838
Papadopoulos, Athanase (ed.), Surveys in geometry II. Cham: Springer. 1-6 (2024).
MSC:
12D10
14H55
20B25
26C10
30F10
30F20
20F55
30F30
30F60
32G15
51F20
51F15
51M35
53A35
53D30
53C70
57K10
Two theorems on the intersections of horospheres in asymptotically harmonic spaces. (English) Zbl 07845680
Reviewer: Patrick Eberlein (Chapel Hill)
A topological product decomposition of Busemann space. (English) Zbl 1540.51003
Reviewer: Federico Vigolo (Göttingen)
MSC:
51F30
S-curvature, E-curvature, and Berwald scalar curvature of Finsler spaces. (English) Zbl 1533.53020
Reviewer: Laurian Ioan Piscoran (Baia Mare)
Isometric models of the funk disc and the Busemann function. (English) Zbl 07797048
Reviewer: Ioan Bucataru (Iaşi)
A new approach about equilibrium problems via Busemann functions. (English) Zbl 1542.90255
MSC:
90C48
The Cayley hyperbolic space and volume entropy rigidity. (English) Zbl 1540.53074
Reviewer: Joonhyung Kim (Jeonju)
MSC:
53C35
Timelike Hilbert geometry of the spherical simplex. (English) Zbl 1536.53146
Papadopoulos, Athanase (ed.), Essays in geometry. Dedicated to Norbert A’Campo. Berlin: European Mathematical Society. IRMA Lect. Math. Theor. Phys. 34, 847-870 (2023).
Reviewer: Andrea Tamburelli (Houston)
The universal commensurability Busemann horofunction compactified Teichmüller space. (English) Zbl 1533.81066
Cross-section measures, radii, and Radon curves. (English) Zbl 1541.52008
Reviewer: Rolf Schneider (Freiburg im Breisgau)
Essays in geometry. Dedicated to Norbert A’Campo. (English) Zbl 1519.57002
IRMA Lectures in Mathematics and Theoretical Physics 34. Berlin: European Mathematical Society (ISBN 978-3-98547-024-2/hbk; 978-3-98547-524-7/ebook). x, 1018 p. (2023).
MSC:
57-06
58-06
53-06
14-06
32-06
00B15
00B30
01-02
01-06
01A70
14B05
34M35
57K20
57R45
32S05
32S55
57K12
57R17
57K30
57K45
00A30
57K10
58K30
51M15
53C70
Diametrically relatively nonexpansive mappings and a characterization of proximal normal structure. (English) Zbl 1533.47048
Reviewer: Andrzej Wiśnicki (Kraków)
Sylvester-Busemann type functionals with respect to Orlicz centroid bodies. (English) Zbl 1514.52005
Geometry of weighted Lorentz-Finsler manifolds. II: A splitting theorem. (English) Zbl 1511.53061
Reviewer: Mohammed Guediri (Riyadh)
Busemann functions in asymptotically harmonic Finsler manifolds. (English) Zbl 1539.53032
Reviewer: Patrick Eberlein (Chapel Hill)
On minmax and maxmin inequalities for centered convex bodies. (English) Zbl 1502.52008
Reviewer: Zsolt Lángi (Budapest)
Harmonic Finsler manifolds of \((\alpha,\beta)\)-type. (English) Zbl 1507.53020
Reviewer: Gauree Shanker (Bathinda)
Boundary-rigidity of projective metrics and the geodesic X-ray transform. (English) Zbl 1495.51003
Reviewer: Hans Havlicek (Wien)
Quadratic ellipsoids in Minkowski geometries. (English) Zbl 1490.51002
Reviewer: Victor V. Pambuccian (Glendale)
Quadratic hyperboloids in Minkowski geometries. (English) Zbl 1486.51004
Reviewer: Dirk Keppens (Gent)
Geodesic spaces of low Nagata dimension. (English) Zbl 1486.53088
Reviewer: Mihail Banaru (Smolensk)
The relation between the continuity of the lengths of curves and the continuity of distances in the case of boundedly compact metric spaces. (Russian. English summary) Zbl 1509.53079
The isometric embedding problem for length metric spaces. (English) Zbl 1496.53021
Reviewer: Ana Pereira do Vale (Braga)
Diffeomorphism stability and codimension three. (English) Zbl 1489.53052
Reviewer: Masoumeh Zarei (Münster)
Applications of sections and half volumes in stability. (English) Zbl 1481.52004
Reviewer: Lalit Mohan Upadhyaya (Mussoorie)
Optimal Lipschitz maps on one-holed tori and the Thurston metric theory of Teichmüller space. (English) Zbl 1478.32037
On geodesic extendibility and the space of compact balls of length spaces. (English) Zbl 1478.53076
Reviewer: Jialong Deng (Göttingen)
A survey on best proximity point theory in reflexive and Busemann convex spaces. (English) Zbl 1469.54096
Cho, Yeol Je (ed.) et al., Advances in metric fixed point theory and applications. Singapore: Springer. 183-216 (2021).
Book review of: S. Alexander et al., An invitation to Alexandrov geometry. CAT(0) spaces. (English) Zbl 1472.00021
A convex body associated to the Busemann random simplex inequality and the Petty conjecture. (English) Zbl 1467.52011
Magnitude homology of geodesic metric spaces with an upper curvature bound. (English) Zbl 1487.53093
Reviewer: Lakehal Belarbi (Mostaganem)
The Fourier transform on harmonic manifolds of purely exponential volume growth. (English) Zbl 1465.53060
Reviewer: Mohammed El Aïdi (Bogotá)
Distances between convex combinations in Hadamard spaces. (English) Zbl 1487.54045
Reviewer: Loreno Heer (Zürich)
Lipschitz-volume rigidity and globalization. (English) Zbl 1467.53068
Ji, Lizhen (ed.) et al., Proceedings of the international consortium of Chinese mathematicians, 2018. Second meeting, Taipei, Taiwan, December 2018. Somerville, MA: International Press. 311-322 (2020).
Quantitative estimates on the singular sets of Alexandrov spaces. (English) Zbl 1480.53059
Reviewer: Loreno Heer (Zürich)
On Schatten restricted norms. (English) Zbl 1467.46012
Mappings of generalized condensing type in metric spaces with Busemann convex structure. (English) Zbl 1447.53063
The singular locus of an almost distance function. (English) Zbl 1445.53035
Reviewer: Bożena Piątek (Gliwice)
The horofunction boundary of the infinite dimensional hyperbolic space. (English) Zbl 1442.51005
Reviewer: Victor V. Pambuccian (Glendale)
An almost rigidity theorem and its applications to noncompact \(\text{RCD}(0,N)\) spaces with linear volume growth. (English) Zbl 1443.53024
Reviewer: Bożena Piątek (Gliwice)
Dehn functions and Hölder extensions in asymptotic cones. (English) Zbl 1441.51005
Reviewer: George Stoica (Saint John)
Closed geodesics on geodesic spaces of curvature \(<\infty\). (English) Zbl 1441.53034
Reviewer: Zdeněk Dušek (České Budějovice)
Pointwise cyclic relatively nonexpansive mappings in Busemann convex spaces. (English) Zbl 1473.54051
The global study of Riemannian-Finsler geometry. (English) Zbl 1454.53004
Dani, S. G. (ed.) et al., Geometry in history. Cham: Springer. 581-621 (2019).
Rigidity of Busemann convex Finsler metrics. (English) Zbl 1481.53096
Reviewer: Behroz Bidabad (Tehran)
Normed planes in tangent cone to chord space of nonpositive curvature. (English. Russian original) Zbl 1431.53083
Russ. Math. 63, No. 1, 1-13 (2019); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2019, No. 1, 3-17 (2019).
MSC:
53C70
Some convergence results using \(K^*\) iteration process in Busemann spaces. (English) Zbl 1431.53084
MSC:
53C70
Timelike Hilbert and Funk geometries. (English) Zbl 1443.53045
Reviewer: Igor G. Nikolaev (Urbana)
On small metric spheres and local cone structures of Busemann \(G\)-spaces. (English) Zbl 1432.53100
Reviewer: Loreno Heer (Zürich)
Two modified proximal point algorithms in geodesic spaces with curvature bounded above. (English) Zbl 1423.53052
Reviewer: Zdeněk Dušek (Ceske Budejovice)
The isoperimetric problem in the 2-dimensional Finsler space forms with \(k = 0\). (English) Zbl 1408.53032
The horofunction boundary of finite-dimensional \(\ell_p\) spaces. (English) Zbl 1415.51015
Reviewer: Joseph Malkoun (Hazmieh)
An invitation to Alexandrov geometry. CAT(0) spaces. (English) Zbl 1433.53065
SpringerBriefs in Mathematics. Cham: Springer (ISBN 978-3-030-05311-6/pbk; 978-3-030-05312-3/ebook). xii, 88 p. (2019).
Reviewer: Ana Pereira do Vale (Braga)
On the fixed point property for nonexpansive mappings in hyperbolic geodesic spaces. (English) Zbl 1503.47072
The horofunction boundary of the lamplighter group \(L_2\) with the Diestel-Leader metric. (English) Zbl 1430.20036
Broaddus, N. (ed.) et al., Topological methods in group theory. Proceedings of the conference, Ohio State University, Columbus, OH, USA, June 16–20, 2014 in honor of Ross Geoghegan’s 70th birthday. Cambridge: Cambridge University Press. Lond. Math. Soc. Lect. Note Ser. 451, 111-134 (2018).
Lorentzian length spaces. (English) Zbl 1501.53057
On the tree-likeness of hyperbolic spaces. (English) Zbl 1406.51016
Reviewer: Igor G. Nikolaev (Urbana)
Non-compact \(\mathrm{RCD}(0,N)\) spaces with linear volume growth. (English) Zbl 1402.53036
Reviewer: Loreno Heer (Zürich)
The cone metric of a Busemann space. (English) Zbl 1406.53046
Reviewer: Lizhen Ji (Ann Arbor)
Straight projective-metric spaces with centres. (English) Zbl 1406.51009
Reviewer: Norbert Knarr (Stuttgart)
Volume difference inequalities. (English) Zbl 1387.52014
Reviewer: Rolf Schneider (Freiburg i. Br.)
Gauge-reversing maps on cones, and Hilbert and Thompson isometries. (English) Zbl 1398.53050
Reviewer: S. Moskaliuk (Kyiv)
Selected works I. Edited by Athanase Papadopoulos. (English) Zbl 06764305
Cham: Springer (ISBN 978-3-319-64294-9/hbk). xxxii, 908 p. (2018).
The Cartan-Hadamard theorem for metric spaces with local geodesic bicombings. (English) Zbl 1391.53088
Reviewer: Fernando Galaz-Garcia (Karlsruhe)
The geometric meaning of curvature: local and nonlocal aspects of Ricci curvature. (English) Zbl 1388.53081
Najman, Laurent (ed.) et al., Modern approaches to discrete curvature. Cham: Springer (ISBN 978-3-319-58001-2/pbk; 978-3-319-58002-9/ebook). Lecture Notes in Mathematics 2184, 1-62 (2017).
The plateau problem for the Busemann-Hausdorff area in arbitrary codimension. (English) Zbl 1383.49050
Foundations of singular Finsler geometry. (English) Zbl 1396.53101
Reviewer: Igor G. Nikolaev (Urbana)
Gluing Busemann spaces. (English) Zbl 1388.53082
Wituła, Roman (ed.) et al., Selected problems on experimental mathematics. Gliwice: Wydawnictwo Politechniki Śląskiej (ISBN 978-83-7880-476-5/pbk). Monografia (Gliwice) 672, 129-148 (2017).
Reviewer: Guang-Cun Lu (Beijing)
An almost isometric sphere theorem and weak strainers on Alexandrov spaces. (English) Zbl 1383.53036
Reviewer: Loreno Heer (Zürich)
Orientation and symmetries of Alexandrov spaces with applications in positive curvature. (English) Zbl 1371.53038
Normed space structure on a Busemann \(G\)-space of cone type. (English. Russian original) Zbl 1369.53054
Math. Notes 101, No. 2, 193-202 (2017); translation from Mat. Zametki 101, No. 2, 169-180 (2017).
Reviewer: Loreno Heer (Zürich)
MSC:
53C70
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