Isoperimetric inequalities and monotonicity formulas for submanifolds in warped products manifolds
From MaRDI portal
Publication:1725568
DOI10.4171/rmi/1045zbMath1412.53081arXiv1607.07895OpenAlexW3099176345MaRDI QIDQ1725568
Hilário Alencar, Gregório Silva Neto
Publication date: 14 February 2019
Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1607.07895
Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)
Related Items (2)
Poincaré type inequality for hypersurfaces and rigidity results ⋮ Hopf type theorems for surfaces in the de Sitter-Schwarzschild and Reissner-Nordstrom manifolds
Cites Work
- Unnamed Item
- Unnamed Item
- Constant mean curvature surfaces in warped product manifolds
- Isoperimetric and Weingarten surfaces in the Schwarzschild manifold
- Isoperimetric inequalities for submanifolds with bounded mean curvature
- Extrinsic upper bounds for \(\lambda _ 1\)
- Isoperimetric inequalities on minimal submanifolds of space forms
- On the first eigenvalue of the Laplacian for compact submanifolds of Euclidean space
- On rigidity of hypersurfaces with constant curvature functions in warped product manifolds
- Hypersurfaces with constant curvature quotients in warped product manifolds
- An isoperimetric comparison theorem for Schwarzschild space and other manifolds
- A Minkowski Inequality for Hypersurfaces in the Anti‐de Sitter‐Schwarzschild Manifold
- Isoperimetric constants and the first eigenvalue of a compact riemannian manifold
- Unicity of constant mean curvature hypersurfaces in some riemannian manifolds
- Isoperimetric inequalities for submanifolds. Jellett-Minkowski's formula revisited
- Eigenvalue estimates for submanifolds of warped product spaces
- Minimal immersions of compact Riemannian manifolds in complete and non-compact Riemannian manifolds
- Manifolds of Negative Curvature
- Curvature of Closed Hypersurfaces and Non-Existence of Closed Minimal Hypersurfaces
- Some integral formulas for closed hypersurfaces
This page was built for publication: Isoperimetric inequalities and monotonicity formulas for submanifolds in warped products manifolds