Globally subanalytic CMC surfaces in ℝ3 with singularities
DOI10.1017/prm.2020.21zbMath1464.53012OpenAlexW3014212384MaRDI QIDQ4965420
Publication date: 1 March 2021
Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/prm.2020.21
Singularities in algebraic geometry (14B05) Minimal surfaces and optimization (49Q05) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Singularities of surfaces or higher-dimensional varieties (14J17) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Semialgebraic sets and related spaces (14P10) Semi-analytic sets, subanalytic sets, and generalizations (32B20) Critical points of functions and mappings on manifolds (58K05)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On regular algebraic surfaces of \(\mathbb R^3\) with constant mean curvature
- Bi-Lipschitz homeomorphic subanalytic sets have bi-Lipschitz homeomorphic tangent cones
- Algebraic CMC hypersurfaces of order 3 in Euclidean spaces
- A characteristic property of spheres
- Minimal surfaces with isolated singularities
- Semianalytic and subanalytic sets
- The topology of normal singularities of an algebraic surface and a criterion for simplicity
- Extending minimal varieties
- Removability of singular points on surfaces of bounded mean curvature
- Non-existence, non-uniqueness and irregularity of solutions to the minimal surface system
- Globally subanalytic CMC surfaces in \(\mathbb{R}^3\)
- Geometric categories and o-minimal structures
- Min-max theory for constant mean curvature hypersurfaces
- Removable singularities of solutions of elliptic equations. II
- Minimal cones and the Bernstein problem
- Regularity of minimizing surfaces of prescribed mean curvature
- Isolated singularities of minimal surfaces
- Lipschitz regular complex algebraic sets are smooth
- A generalization of the Tarski-Seidenberg theorem, and some nondefinability results
- A Theory of Branched Immersions of Surfaces
- Limits of tangent spaces to real surfaces
- Algebraic constant mean curvature surfaces in Euclidean space
- Über Flächen mit einer Relation zwischen den Hauptkrümmungen. Meinem Lehrer Erhard Schmidt in Verehrung und Freundschaft zum 75. Geburtstag gewidmet.
- Isolated Singularities of Solutions of Nonlinear Partial Differential Equations
