Approaching the isoperimetric problem in \(H_{\mathbb{C}}^m\) via the hyperbolic log-convex density conjecture

DOI10.1007/s00526-023-02617-0arXiv2208.00195OpenAlexW4389199329MaRDI QIDQ6140830

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Publication date: 2 January 2024

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2208.00195

Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Variational problems in a geometric measure-theoretic setting (49Q20)

Cites Work

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• Isoperimetry in surfaces of revolution with density
• On the isoperimetric problem in Euclidean space with density
• Sets of Finite Perimeter and Geometric Variational Problems
• The isoperimetric problem on surfaces of revolution of decreasing Gauss curvature
• The Log Convex Density Conjecture in Hyperbolic Space
• Locally constrained inverse curvature flows
• A class of weighted isoperimetric inequalities in hyperbolic space
• On the global structure of Hopf hypersurfaces in a complex space form

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