Found 102 Documents (Results 1–100)
Invariant constant mean curvature tubes around a horizontal geodesic in \(\mathbb{E}(\kappa, \tau)\)-spaces. (English) Zbl 07852393
Reviewer: Paweł Walczak (Łódź)
An unknottedness result for noncompact self-shrinkers. (English) Zbl 07840487
Reviewer: Dorin Andrica (Cluj Napoca)
Halfspace type theorems for self-shrinkers in arbitrary codimension. (English) Zbl 1541.53076
Reviewer: Andreas Arvanitoyeorgos (Pátra)
Evolution of form and shape. (English) Zbl 07821728
Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 2. Plenary lectures. Berlin: European Mathematical Society (EMS). 826-871 (2023).
Reviewer: Andoni Royo Abrego (Tübingen)
Existence of multiple closed CMC hypersurfaces with small mean curvature. (English) Zbl 1534.53009
Reviewer: Atsushi Fujioka (Ōsaka)
Domains without parabolic minimal submanifolds and weakly hyperbolic domains. (English) Zbl 1535.53010
Reviewer: Rafael Lopez (Granada)
Construction of minimal annuli in \(\widetilde{\mathrm{PSL}}_2(\mathbb{R},\tau)\) via a variational method. (English) Zbl 1529.53012
Reviewer: Antoine Song (Pasadena)
Elliptic Weingarten surfaces: singularities, rotational examples and the halfspace theorem. (English) Zbl 1516.53007
On the topology and index of minimal surfaces. II. (English) Zbl 1526.53011
Reviewer: Alexis Michelat (Lausanne)
Slab theorem and halfspace theorem for constant mean curvature surfaces in \(\mathbb{H}^2 \times \mathbb{R}\). (English) Zbl 1517.53012
Reviewer: Naoya Ando (Kumamoto)
Proper holomorphic maps in Euclidean spaces avoiding unbounded convex sets. (English) Zbl 1517.32032
Constructions of helicoidal minimal surfaces and minimal annuli in \(\widetilde{E(2)}\). (English) Zbl 1503.53020
Reviewer: Mohamed Belkhelfa (Mascara)
Bi-halfspace and convex hull theorems for translating solitons. (English) Zbl 1506.53095
Reviewer: Kostiantyn Drach (Klosterneuburg)
The embedded Calabi-Yau conjecture for finite genus. (English) Zbl 1490.53014
Reviewer: Marina Ville (Paris)
Limit lamination theorem for H-disks. (English) Zbl 1484.53031
Reviewer: Ivan C. Sterling (St. Mary’s City)
Existence of minimisers in the least gradient problem for general boundary data. (English) Zbl 1479.35295
Reviewer: Luca Esposito (Fisciano)
The Frankel property for self-shrinkers from the viewpoint of elliptic PDEs. (English) Zbl 1464.53109
Half-space type theorem for translating solitons of the mean curvature flow in Euclidean space. (English) Zbl 1472.53075
Symmetry and rigidity of minimal surfaces with Plateau-like singularities. (English) Zbl 1473.49045
Reviewer: Marina Ville (Paris)
Half-space theorems for the Allen-Cahn equation and related problems. (English) Zbl 1459.35177
Reviewer: Dian K. Palagachev (Bari)
MSC:
35J61
Structure theorems for singular minimal laminations. (English) Zbl 1442.53043
Reviewer: Georges Habib (Fanar)
MSC:
53C42
Parabolicity criteria and characterization results for submanifolds of bounded mean curvature in model manifolds with weights. (English) Zbl 1436.31025
Half-space theorems for properly immersed surfaces in \(\mathbb{R}^3\) with prescribed mean curvature. (English) Zbl 1436.53008
Classical Schwarz reflection principle for Jenkins-Serrin type minimal surfaces. (English) Zbl 1446.53048
Improvement of the Bernstein-type theorem for space-like zero mean curvature graphs in Lorentz-Minkowski space using fluid mechanical duality. (English) Zbl 1433.53017
Mean curvature in the light of scalar curvature. (Courbure moyenne à la lumière de la courbure scalaire.) (English. French summary) Zbl 1467.53041
Reviewer: Antonella Nannicini (Firenze)
The halfspace theorem for minimal hypersurfaces in regions bounded by minimal cones. (English) Zbl 1426.53078
Min-max theory for constant mean curvature hypersurfaces. (English) Zbl 1432.53086
Reviewer: Costache Apreutesei (Iaşi)
MSC:
53C42
Bubbling analysis and geometric convergence results for free boundary minimal surfaces. (Analyse des bulles et résultats de convergence géométrique pour des surfaces minimales à bord libre.) (English. French summary) Zbl 1426.53013
On limits of triply periodic minimal surfaces. (English) Zbl 1409.53012
Reviewer: Gabriel Eduard Vilcu (Ploieşti)
Strong maximum principle for mean curvature operators on subRiemannian manifolds. (English) Zbl 1408.53044
Reviewer: Akira Asada (Takarazuka)
Translating solitons of the mean curvature flow in the space \(\mathbb{H}^2\times \mathbb{R}\). (English) Zbl 1401.53045
Geometric properties of self-shrinkers in cylinder shrinking Ricci solitons. (English) Zbl 1386.53040
MSC:
53C21
53C44
Qualitative and quantitative estimates for minimal hypersurfaces with bounded index and area. (English) Zbl 1390.53008
Reviewer: Dorin Andrica (Riyadh)
Characterizing classical minimal surfaces via the entropy differential. (English) Zbl 1379.53012
Reviewer: Atsushi Fujioka (Osaka)
Complete conformal metrics of negative Ricci curvature on Euclidean spaces. (English) Zbl 1362.53045
The slab theorem for minimal surfaces in \(\mathbb {E}(-1,\tau)\). (English) Zbl 1373.53006
Reviewer: Cihan Özgür (Balikesir)
Minimal Legendrian surfaces in the five-dimensional Heisenberg group. (English) Zbl 1347.53045
Futaki, Akito (ed.) et al., Geometry and topology of manifolds. 10th China-Japan geometry conference for friendship, held in Shanghai, China, September 7–11, 2014. Tokyo: Springer (ISBN 978-4-431-56019-7/hbk; 978-4-431-56021-0/ebook). Springer Proceedings in Mathematics & Statistics 154, 1-13 (2016).
Conformal type of ends of revolution in space forms of constant sectional curvature. (English) Zbl 1338.53081
Reviewer: Dorin Andrica (Riyadh)
A Hölder estimate for entire solutions to the two-valued minimal surface equation. (English) Zbl 1382.49051
Reviewer: Derek J. Jung (Urbana)
Null holomorphic curves in \(\mathbb C^3\) and applications to the conformal Calabi-Yau problem. (English) Zbl 1338.53085
Fornæss, John Erik (ed.) et al., Complex geometry and dynamics. The Abel symposium 2013, Trondheim, Norway, July 2–5, 2013. Cham: Springer (ISBN 978-3-319-20336-2/hbk; 978-3-319-20337-9/ebook). Abel Symposia 10, 101-121 (2015).
A half-space theorem for graphs of constant mean curvature \(0<H<\frac{1}{2}\) in \(\mathbb{H}^{2}\times\mathbb{R}\). (English) Zbl 1359.53052
Reviewer: Stefka Hineva (Sofia)
Properly immersed minimal surfaces in a slab of \(\mathbb H\times\mathbb R\), \(\mathbb H\) the hyperbolic plane. (English) Zbl 1321.53070
Reviewer: Ivan C. Sterling (St. Mary’s City)
The half space property for cmc 1/2 graphs in \(\mathbb {E}(-1,\tau )\). (English) Zbl 1311.53007
MSC:
53A10
Properly embedded minimal planar domains. (English) Zbl 1315.53008
Reviewer: Gabjin Yun (Yongin)
The space of embedded minimal surfaces of fixed genus in a 3-manifold. V. Fixed genus. (English) Zbl 1322.53059
Reviewer: Oscar J. Garay (Bilbao)
Classification of the solutions to an overdetermined elliptic problem in the plane. (English) Zbl 1295.35344
Reviewer: Antonio Greco (Cagliari)
Existence of barriers for surfaces with prescribed curvatures in \(\mathbb M^ 2{\times}\mathbb R\). (English) Zbl 1301.53007
The classical theory of minimal surfaces. (English) Zbl 1232.53003
Reviewer: Erich Hoy (Friedberg)
Helicoid-like minimal disks and uniqueness. (English) Zbl 1225.53008
Reviewer: Gabjin Yun (Yongin)
A halfspace theorem for proper, negatively curved immersions. (English) Zbl 1217.53010
Reviewer: Cihan Özgür (Balikesir)
A halfspace theorem for mean curvature \(H = \frac 12\) surfaces in \(\mathbb H^2 \times \mathbb R\). (English) Zbl 1191.53045
Reviewer: Gabjin Yun (Yongin)
Complete embedded minimal surfaces of finite total curvature with planar ends of smallest possible order. (English) Zbl 1185.53010
MSC:
53A10
A martingale approach to minimal surfaces. (English) Zbl 1171.53011
Reviewer: Elisa Alòs (Barcelona)
Half-space type theorems in warped product spaces with one-dimensional factor. (English) Zbl 1165.53362
The space of doubly periodic minimal tori with parallel ends: standard examples. (English) Zbl 1127.53006
Reviewer: Magdalena Daniela Toda (Lubbock)
MSC:
53A10
Minimal surfaces with the area growth of two planes: the case of infinite symmetry. (English) Zbl 1115.53008
Reviewer: Doan The Hieu (Hue)
Shapes of embedded minimal surfaces. (English) Zbl 1175.53008
Reviewer: Stefka Hineva (Sofia)
MSC:
53A10
The minimal lamination closure theorem. (English) Zbl 1098.53007
Reviewer: Iskander A. Taimanov (Novosibirsk)
Complete proper minimal surfaces in convex bodies of \(\mathbb R^3\). (English) Zbl 1082.53009
Reviewer: Shen Yi-Bing (Hangzhou)
Some nonexistence results for the minimal surface equation. (Quelques résultats de non-existence pour l’équation des surfaces minimales.) (French) Zbl 1082.53010
Reviewer: Salvador D. Gigena (Rosario)
MSC:
53A10
The geometry of minimal surfaces of finite genus. II: Nonexistence of one limit end examples. (English) Zbl 1070.53003
Reviewer: Kaarin Riives (Tartu)
MSC:
53A10
On the asymptotic behavior of a complete bounded minimal surface in \(\mathbb{R} ^3\). (English) Zbl 1057.53009
Reviewer: Wayne Rossman (Kobe)
Some Picard theorems for minimal surfaces. (English) Zbl 1121.53007
Reviewer: Alina Stancu (Lowell)
A remark on the maximum principle and stochastic completeness. (English) Zbl 1015.58007
Reviewer: Jacques Franchi (Strasbourg)
Intersection of minimal surfaces of bounded curvature. (English) Zbl 0982.53053
Reviewer: Wolfgang Kühnel (Stuttgart)
Remarks on harmonic maps into a cone from a stochastically complete manifold. (English) Zbl 0960.58019
Reviewer: Yuri E.Gliklikh (Voronezh)
The topological uniqueness of complete one-ended minimal surfaces and Heegaard surfaces in \( \mathbb{R}^ 3\). (English) Zbl 0886.57015
Reviewer: He Baihe (Changchun)
MSC:
57N12
53A10
On singly-periodic minimal surfaces with planar ends. (English) Zbl 0882.53007
Reviewer: Shen Yi-Bing (Hangzhou)
MSC:
53A10
Embedded minimal surfaces: Forces, topology and symmetries. (English) Zbl 0861.53008
Reviewer: E.Hoy (Friedberg)
MSC:
53A10
The spaces of index one minimal surfaces and stable constant mean curvature surfaces embedded in flat three manifolds. (English) Zbl 0867.53007
Reviewer: I.Cattaneo-Gasparini (Roma)
On special Weingarten surfaces of minimal type. (Sur les surfaces de Weingarten spéciales de type minimal.) (French) Zbl 0864.53004
Reviewer: R.Finn (Stanford)
The geometry and conformal structure of properly embedded minimal surfaces of finite topology in \(\mathbb{R}^ 3\). (English) Zbl 0803.53007
Reviewer: K.Polthier (Berlin)
MSC:
53A10
Some uniqueness and nonexistence theorems for embedded minimal surfaces. (English) Zbl 0789.53004
Reviewer: J.Pérez (Granada)
An unknotting result for complete minimal surfaces in \(\mathbb{R}^ 3\). (English) Zbl 0773.53003
Reviewer: D.Ferus (Berlin)
MSC:
53A10
The topology of complete one-ended minimal surfaces and Heegaard surfaces in \(R^ 3\). (English) Zbl 0717.53005
Reviewer: F.Gackstatter
Limits of minimal surfaces and Scherk’s fifth surface. (English) Zbl 0709.53006
Reviewer: C.J.Costa
The structure of singly-periodic minimal surfaces. (English) Zbl 0695.53005
Reviewer: D.Ferus
The global theory of doubly periodic minimal surfaces. (English) Zbl 0676.53068
Reviewer: G.Thorbergsson
MSC:
53C42
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