Topology of Riemannian submanifolds with prescribed boundary

DOI10.1215/00127094-2010-018zbMath1201.53005OpenAlexW1994862240WikidataQ115240687 ScholiaQ115240687MaRDI QIDQ971954

Jeremy Wong, Mohammad Ghomi, Stephanie B. Alexander

Publication date: 17 May 2010

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/00127094-2010-018

zbMATH Keywords

negative curvaturelocally convex hypersurfacesRiemannian submanifoldstopological types.

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Global surface theory (convex surfaces à la A. D. Aleksandrov) (53C45)

Related Items (4)

Triangulating metric surfaces ⋮ The non-linear Plateau problem in non-positively curved manifolds ⋮ Tangent lines, inflections, and vertices of closed curves ⋮ Relative isometric embeddings of Riemannian manifolds

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