Rigidity of hypersurfaces and Moser-Bernstein type results in certain warped products, with applications to pseudo-hyperbolic spaces
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Publication:2699696
DOI10.1007/s00010-022-00914-1OpenAlexW4307243693WikidataQ115609542 ScholiaQ115609542MaRDI QIDQ2699696
Henrique Fernandes de Lima, Wallace F. Gomes, Jogli G. Araújo
Publication date: 19 April 2023
Published in: Aequationes Mathematicae (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00010-022-00914-1
entire graphswarped productscomplete two-sided hypersurfacesmean curvature equationpseudo-hyperbolic spaces
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Cites Work
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- On the rigidity of constant mean curvature complete vertical graphs in warped products
- On the oriented Plateau problem
- Complete vertical graphs with constant mean curvature in semi-Riemannian warped products
- Rough isometries and the parabolicity of Riemannian manifolds
- Height estimates and topology at infinity of hypersurfaces immersed in a certain class of warped products
- Uniqueness of entire graphs in warped products
- Uniqueness of constant mean curvature surfaces properly immersed in a slab
- Isometric immersions of Riemannian manifolds
- Minimal varieties in Riemannian manifolds
- Minimal cones and the Bernstein problem
- Bernstein-type theorems in semi-Riemannian warped products
- Maximum Principles and Geometric Applications
- On Harnack's theorem for elliptic differential equations
- Harmonic functions on complete riemannian manifolds
- Analytic and geometric background of recurrence and non-explosion of the Brownian motion on Riemannian manifolds
- Unicity of constant mean curvature hypersurfaces in some riemannian manifolds
- Hypersurfaces of constant higher order mean curvature in warped products
- Gradient estimates for the constant mean curvature equation in hyperbolic space
- Space-like hypersurfaces with functionally bounded mean curvature in Lorentzian warped products and generalized Calabi–Bernstein-type problems
- A Sharp Height Estimate for Compact Hypersurfaces with Constant k-Mean Curvature in Warped Product Spaces
- CONSTANT MEAN CURVATURE HYPERSURFACES IN WARPED PRODUCT SPACES
- Complete Riemannian Manifolds and Some Vector Fields
- On S. Bernstein's Theorem on Surfaces z(x, y) of Nonpositive Curvature
- Moser-type results in Riemannian product spaces
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