Hopf type theorems for surfaces in the de Sitter-Schwarzschild and Reissner-Nordstrom manifolds
DOI10.1007/s10231-023-01384-1arXiv2203.06206MaRDI QIDQ6196052
Hilário Alencar, Gregório Silva Neto
Publication date: 14 March 2024
Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2203.06206
Compact Riemann surfaces and uniformization (30F10) Elliptic equations on manifolds, general theory (58J05) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Differentials on Riemann surfaces (30F30) Inequalities in the complex plane (30A10)
Cites Work
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- Constant mean curvature surfaces in warped product manifolds
- Uniqueness of \(\phi\)-minimal hypersurfaces in warped product manifolds
- On the stability of minimal cones in warped products
- Curvature estimates for immersed hypersurfaces in Riemannian manifolds
- Stable minimal surfaces in Riemannian warped products
- Constant mean curvature spheres in Riemannian manifolds
- Stable constant mean curvature hypersurfaces in some Riemannian manifolds
- Constant geodesic curvature curves and isoperimetric domains in rotationally symmetric surfaces
- Proof of the Riemannian Penrose inequality using the positive mass theorem.
- Isoperimetric inequalities and monotonicity formulas for submanifolds in warped products manifolds
- On rigidity of hypersurfaces with constant curvature functions in warped product manifolds
- Hypersurfaces with constant curvature quotients in warped product manifolds
- Stability of constant mean curvature surfaces in three-dimensional warped product manifolds
- A theorem of Hopf and the Cauchy-Riemann inequality
- Uniqueness of constant mean curvature surfaces properly immersed in a slab
- Curvature and metric
- An extension of a theorem of Serrin to graphs in warped products
- An isoperimetric comparison theorem for Schwarzschild space and other manifolds
- An Elementary Proof of the Existence of Isothermal Parameters on a Surface
- Unicity of constant mean curvature hypersurfaces in some riemannian manifolds
- Hypersurfaces of constant higher order mean curvature in warped products
- A volume preserving flow and the isoperimetric problem in warped product spaces
- Isoperimetric inequalities for submanifolds. Jellett-Minkowski's formula revisited
- A Sharp Height Estimate for Compact Hypersurfaces with Constant k-Mean Curvature in Warped Product Spaces
- Riemannian Geometry
- Eigenvalue estimates for submanifolds of warped product spaces
- CONSTANT MEAN CURVATURE HYPERSURFACES IN WARPED PRODUCT SPACES
- Manifolds of Negative Curvature
- Über Flächen mit einer Relation zwischen den Hauptkrümmungen. Meinem Lehrer Erhard Schmidt in Verehrung und Freundschaft zum 75. Geburtstag gewidmet.
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