Min-max theory for free boundary G-invariant minimal hypersurfaces

DOI10.1016/j.aim.2023.109087arXiv2208.07187OpenAlexW4376120497MaRDI QIDQ6039831

Tongrui Wang

Publication date: 23 May 2023

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2208.07187

zbMATH Keywords

Lie group actionsfree boundary minimal surfacesequivariant min-max theory

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Cites Work

• The existence of embedded minimal hypersurfaces
• Morse index and multiplicity of \(\min\text{-}\max\) minimal hypersurfaces
• Min-max hypersurface in manifold of positive Ricci curvature
• Equivariant collaring, tubular neighbourhood and gluing theorems for proper Lie group actions
• On equivariant isometric embeddings
• The equivariant triangulation theorem for actions of compact Lie groups
• Extending minimal varieties
• Tubes
• Min-max theory for free boundary minimal hypersurfaces. I: Regularity theory
• Min-max theory for G-invariant minimal hypersurfaces
• The existence of embedded \(G\)-invariant minimal hypersurface
• Existence of infinitely many minimal hypersurfaces in positive Ricci curvature
• Min-max theory and the Willmore conjecture
• A general regularity theory for stable codimension 1 integral varifolds
• The homotopy groups of the integral cycle groups
• Min-max theory for free boundary minimal hypersurfaces. II: General Morse index bounds and applications
• Submanifolds and Holonomy
• Equivariant minimax and minimal surfaces in geometric three-manifolds
• Regularity of stable minimal hypersurfaces
• Existence and uniqueness of equivariant triangulations of smooth proper G-manifolds with some applications to equivariant Whitehead torsion
• The Equivariant Plateau Problem and Interior Regularity
• A General Existence Theorem for Embedded Minimal Surfaces with Free Boundary
• Shorter Note: Orientability of Hypersurfaces in R n
• Differential Topology
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Min-max theory for free boundary G-invariant minimal hypersurfaces