Found 801 Documents (Results 1–100)
A reverse isoperimetric inequality for convex shapes with inclusion constraint. (English) Zbl 07920127
The Bernstein problem for \((X,Y)\)-Lipschitz surfaces in three-dimensional sub-Finsler Heisenberg groups. (English) Zbl 07900924
The prescribed mean curvature equation for \(t\)-graphs in the sub-Finsler Heisenberg group \(\mathbb{H}^{n}\). (English) Zbl 07900902
Local structure of convex surfaces. (English. Russian original) Zbl 07891404
Sb. Math. 215, No. 3, 401-437 (2024); translation from Mat. Sb. 215, No. 3, 119-158 (2024).
Random partitions under the Plancherel-Hurwitz measure, high-genus Hurwitz numbers and maps. (English) Zbl 07889238
Elastic membranes spanning deformable curves. (English) Zbl 07885432
Reviewer: Alain Brillard (Riedisheim)
Generalized minimizing movements for the varifold Canham-Helfrich flow. (English) Zbl 07874989
Reviewer: Dimitris P. Vartziotis (Ioannina)
The nonlocal isoperimetric problem for polygons: Hardy-Littlewood and Riesz inequalities. (English) Zbl 07850215
The convexity of entire spacelike hypersurfaces with constant \(\sigma_{n-1}\) curvature in Minkowski space. (English) Zbl 1540.53080
Reviewer: Andrea Tamburelli (Houston)
About the Blaschke-Santaló diagram of area, perimeter and moment of inertia. (English) Zbl 1539.49034
Reviewer: Costică Moroşanu (Iaşi)
On the numerical approximation of Blaschke-Santaló diagrams using centroidal Voronoi tessellations. (English) Zbl 1536.65020
Embeddedness of min-max CMC hypersurfaces in manifolds with positive Ricci curvature. (English) Zbl 1536.53022
Direct minimization of the Canham-Helfrich energy on generalized Gauss graphs. (English) Zbl 1534.49039
Recent advances in diffeologies and their applications. AMS-EMS-SMF special session, Université de Grenoble-Alpes, Grenoble, France, July 18–20, 2022. (English) Zbl 1531.53005
Contemporary Mathematics 794. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-7254-2/pbk; 978-1-4704-7607-6/ebook). ix, 258 p. (2024).
A note on starshaped hypersurfaces with almost constant mean curvature in space forms. (English) Zbl 1532.53012
Reviewer: Mohammed Abdelmalek (Tlemcen)
A Conditional Upper Bound for the Moving Sofa Problem. arXiv:2406.10725
Preprint, arXiv:2406.10725 [math.MG] (2024).
A Variational Theory for The Area of Legendrian Surfaces. arXiv:2405.06955
Preprint, arXiv:2405.06955 [math.DG] (2024).
Existence and uniqueness of \(t\)-graphs of prescribed mean curvature in Heisenberg groups. arXiv:2405.06533
Preprint, arXiv:2405.06533 [math.DG] (2024).
CMC hypersurface with finite index in hyperbolic space \(\mathbb{H}^4\). arXiv:2404.10276
Preprint, arXiv:2404.10276 [math.DG] (2024).
Stable free boundary minimal hypersurfaces in locally wedge-shaped manifolds. arXiv:2403.08005
Preprint, arXiv:2403.08005 [math.DG] (2024).
\(n\)-Dimensional Volumetric Stretch Energy Minimization for Volume-/Mass-Preserving Parameterizations. arXiv:2402.00380
Preprint, arXiv:2402.00380 [math.NA] (2024).
Cylindrical singular minimal surfaces. (English) Zbl 1535.53008
Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 34, No. 3, 547-576 (2023).
Overdetermined problems and relative Cheeger sets in unbounded domains. (English) Zbl 1532.35312
Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 34, No. 2, 531-546 (2023).
On almost stable linear Weingarten hypersurfaces. (English) Zbl 1532.53084
Reviewer: Andrea Tamburelli (Houston)
A product shape manifold approach for optimizing piecewise-smooth shapes. (English) Zbl 1534.49033
Nielsen, Frank (ed.) et al., Geometric science of information. 6th international conference, GSI 2023, St. Malo, France, August 30 – September 1, 2023. Proceedings. Part I. Cham: Springer. Lect. Notes Comput. Sci. 14071, 21-30 (2023).
On the structure of singular points of a solution to Newton’s least resistance problem. (English) Zbl 1530.49009
Confined Willmore energy and the area functional. (English) Zbl 1530.53012
Reviewer: Alain Brillard (Riedisheim)
Isoperimetry and volume preserving stability in real projective spaces. (English) Zbl 1531.53020
Reviewer: Andrea Tamburelli (Houston)
A structure-preserving finite element approximation of surface diffusion for curve networks and surface clusters. (English) Zbl 1531.65156
The asymptotics of the area-preserving mean curvature and the Mullins-Sekerka flow in two dimensions. (English) Zbl 1533.76061
Solution to the \(n\)-bubble problem on \(\mathbb{R}^1\) with log-concave density. (English) Zbl 1541.49025
Regularity results for an optimal design problem with lower order terms. (English) Zbl 1529.49023
Reviewer: Giorgio Saracco (Firenze)
An isoperimetric problem on the Lobachevsky plane with a left-invariant Finsler structure. (English. Russian original) Zbl 1528.53069
Proc. Steklov Inst. Math. 321, 208-221 (2023); translation from Tr. Mat. Inst. Steklova 321, 223-236 (2023).
Gap phenomena for constant mean curvature surfaces. (English) Zbl 1523.53010
Reviewer: Alberto Roncoroni (Milano)
Li-Yau type inequality for curves in any codimension. (English) Zbl 1525.53006
Reviewer: Abimbola Abolarinwa (Lagos)
Minimizing immersions of a hyperbolic surface in a hyperbolic 3-manifold. (English) Zbl 1528.53061
Reviewer: Andrea Tamburelli (Houston)
Quantitative estimates for the Bakry-Ledoux isoperimetric inequality. II. (English) Zbl 1525.53042
Reviewer: Antoine Henrot (Vandœuvre-lès-Nancy)
Shape optimization. Variations of domains and applications. (English) Zbl 1537.35349
De Gruyter Series in Nonlinear Analysis and Applications 42. Berlin: De Gruyter (ISBN 978-3-11-102526-1/hbk; 978-3-11-102543-8/ebook). xi, 278 p. (2023).
Reviewer: Georgios Psaradakis (Kastoria)
Mean-to-max ratio of the torsion function and honeycomb structures. (English) Zbl 1539.52018
Reviewer: Gianfranco Bottaro (Genova)
Optimal design of sensors via geometric criteria. (English) Zbl 1521.49029
Reviewer: Giorgio Saracco (Firenze)
Fitting cylinders computation with an application to measuring \(3D\) shapes. (English) Zbl 1538.65045
On the topology and index of minimal surfaces. II. (English) Zbl 1526.53011
Reviewer: Alexis Michelat (Lausanne)
Reconstructing planar ellipses from translation-invariant Minkowski tensors of rank two. (English) Zbl 1518.52001
A Li-Yau inequality for the 1-dimensional Willmore energy. (English) Zbl 1514.53042
Reviewer: Alain Brillard (Riedisheim)
On the Morse index with constraints for capillary surfaces. (English) Zbl 1512.53009
Reviewer: Antoine Henrot (Vandœuvre-lès-Nancy)
Entire self-expanders for power of \(\sigma_k\) curvature flow in Minkowski space. (English) Zbl 1509.53071
The isoperimetric problem for regular and crystalline norms in \({\mathbb{H}}^1\). (English) Zbl 1500.49024
Two extremum problems for Neumann eigenvalues. arXiv:2312.13747
Preprint, arXiv:2312.13747 [math.SP] (2023).
A Robust Hessian-based Trust Region Algorithm for Spherical Conformal Parameterizations. arXiv:2311.18474
Preprint, arXiv:2311.18474 [math.NA] (2023).
Isoperimetric inequalities for inner parallel curves. arXiv:2311.18413
Preprint, arXiv:2311.18413 [math.AP] (2023).
A Variational Construction of Hamiltonian Stationary Surfaces with Isolated Schoen-Wolfson Conical Singularities. arXiv:2311.15734
Preprint, arXiv:2311.15734 [math.DG] (2023).
Gordian unlinks. arXiv:2310.14846
Preprint, arXiv:2310.14846 [math.GT] (2023).
Optimal quantization with branched optimal transport distances. arXiv:2309.08677
Preprint, arXiv:2309.08677 [math.OC] (2023).
Estimates on the Neumann and Steklov principal eigenvalues of collapsing domains. arXiv:2307.12889
Preprint, arXiv:2307.12889 [math.AP] (2023).
The equality case in the substatic Heintze-Karcher inequality. arXiv:2307.04253
Preprint, arXiv:2307.04253 [math.DG] (2023).
Area Variations under Legendrian Constraint. arXiv:2306.10633
Preprint, arXiv:2306.10633 [math.DG] (2023).
Morse Index Stability of Willmore Immersions I. arXiv:2306.04608
Preprint, arXiv:2306.04608 [math.DG] (2023).
On the Blaschke-Lebesgue theorem for the Cheeger constant via areas and perimeters of inner parallel sets. arXiv:2303.15559
Preprint, arXiv:2303.15559 [math.MG] (2023).
Several exactly solvable quantum mechanical systems and the SWKB quantization condition. (English) Zbl 07819674
Dobrev, Vladimir (ed.), Lie theory and its applications in physics. Selected papers based on the presentations at the workshop, Sofia, Bulgaria, online, June 2021. Singapore: Springer. Springer Proc. Math. Stat. 396, 339-349 (2022).
A weighted quantitative isoperimetric inequality for Korányi sphere in Heisenberg group \(\mathbb{H}^n\). (English) Zbl 1515.53029
Reviewer: Nathaniel Eldredge (Greeley)
Continuum limits of discrete isoperimetric problems and Wulff shapes in lattices and quasicrystal tilings. (English) Zbl 1504.52019
A reverse isoperimetric inequality for planar \((\alpha, \beta)\)-convex bodies. (English) Zbl 1498.52004
The missing \((A,D,r)\) diagram. (Le diagramme \((A,D,r)\) manquant.) (English. French summary) Zbl 1497.49053
A shape Newton scheme for deforming shells with application to capillary bridges. (English) Zbl 1496.49016
Corrected curvature measures. (English) Zbl 1495.49027
Minimising hulls, p-capacity and isoperimetric inequality on complete Riemannian manifolds. (English) Zbl 1495.49025
Triangulating surfaces with bounded energy. (English) Zbl 1500.53009
Reviewer: Dimitris P. Vartziotis (Ioannina)
Renormalised energies and renormalisable singular harmonic maps into a compact manifold on planar domains. (English) Zbl 1494.58005
Reviewer: Dumitru Motreanu (Perpignan)
Some geometric inequalities for varifolds on Riemannian manifolds based on monotonicity identities. (English) Zbl 1529.53033
Reviewer: Giorgio Saracco (Firenze)
On the stability problem of equilibrium discrete planar curves. (English) Zbl 1492.49041
Reviewer: Costică Moroşanu (Iaşi)
Escobar constants of planar domains. (English) Zbl 1485.51017
Reviewer: Victor V. Pambuccian (Glendale)
Stationary soap films with vertical potentials. (English) Zbl 1489.53090
Reviewer: Ivan C. Sterling (St. Mary’s City)
Convergence of elastic flows of curves into manifolds. (English) Zbl 1492.53105
Reviewer: Antonio Masiello (Bari)
Shape stability of a quadrature surface problem in infinite Riemannian manifolds. arXiv:2210.12279
Preprint, arXiv:2210.12279 [math.DG] (2022).
Convergence Analysis of Discrete Conformal Transformation. arXiv:2210.10990
Preprint, arXiv:2210.10990 [math.NA] (2022).
Comparing shapes of high genus surfaces. (English) Zbl 1491.49030
Reviewer: Antoine Henrot (Vandœuvre-lès-Nancy)
Transporting deformations of face emotions in the shape spaces: a comparison of different approaches. (English) Zbl 1522.65029
MSC:
65D18
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