A priori bounds for co-dimension one isometric embeddings

DOI10.1353/ajm.1999.0035zbMath0964.53038arXivmath/9807130OpenAlexW3103912546MaRDI QIDQ4700209

Gilbert Weinstein, Yan-yan Li

Publication date: 28 June 2001

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9807130

zbMATH Keywords

isometric embeddingnonnegative sectional curvatureWeyl estimatescodimension one submanifold

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Moduli problems for differential geometric structures (58D27) Global submanifolds (53C40)

Related Items (7)

The Dirichlet Problem for Degenerate Hessian Equations ⋮ Isometric embedding with nonnegative Gauss curvature under the graph setting ⋮ Limit of quasilocal mass integrals in asymptotically hyperbolic manifolds ⋮ Curvature estimates for immersed hypersurfaces in Riemannian manifolds ⋮ Quasi-local mass integrals and the total mass ⋮ Quasi-spherical metrics and applications ⋮ Weyl estimates for spacelike hypersurfaces in de Sitter space

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