On the Equivariant Implicit Function Theorem with Low Regularity and Applications to Geometric Variational Problems

DOI10.1017/S0013091513000631zbMath1317.47057arXiv1009.5721OpenAlexW3098549081MaRDI QIDQ5173080

Gaetano Siciliano, Paolo Piccione, Renato G. Bettiol

Publication date: 6 February 2015

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1009.5721

zbMATH Keywords

geometric variational problemsharmonic mapsclosed geodesicsimplicit function theoremCMC hypersurfaces

Mathematics Subject Classification ID

Group actions and symmetry properties (58D19) Implicit function theorems; global Newton methods on manifolds (58C15) Infinite-dimensional manifolds (46T05) Abstract inverse mapping and implicit function theorems involving nonlinear operators (47J07)

Related Items (7)

Bifurcation and local rigidity of constant second mean curvature hypersurfaces in Riemannian warped products ⋮ On the bifurcation of spacelike hypersurfaces with constant mean curvature in spacetimes ⋮ Full Laplace spectrum of distance spheres in symmetric spaces of rank one ⋮ Local rigidity, bifurcation, and stability of \(H_f\)-hypersurfaces in weighted Killing warped products ⋮ Deformations of free boundary CMC hypersurfaces ⋮ Deforming solutions of geometric variational problems with varying symmetry groups ⋮ Equivariant Bifurcation in Geometric Variational Problems

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