On nonimmersibility of compact hypersurfaces into a ball of a simply connected space form

DOI10.1007/BF02762695zbMath0864.53039OpenAlexW2078758743WikidataQ125581946 ScholiaQ125581946MaRDI QIDQ1916884

Fernando Giménez, Vicente Miquel

Publication date: 14 July 1996

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

Full work available at URL: https://doi.org/10.1007/bf02762695

zbMATH Keywords

integral formula of Minkowski typehypersurfaces of spaces of constant curvature

Mathematics Subject Classification ID

Global submanifolds (53C40)

Cites Work

• Function theory on manifolds which possess a pole
• Isometric embedding of a compact Riemannian manifold into sphere
• Elementary geometric applications of a maximum principle for nonlinear elliptic operators
• On the Sectional Curvature of Compact Hypersurfaces
• An Estimate for the Curvature of Bounded Submanifolds
• COMPACT HYPERSURFACES IN EVEN DIMENSIONAL EUCLIDEAN SPACE AND IN THE SPHERE
• Isometric Embedding of a Compact Riemannian Manifold into Euclidean Space
• Some integral formulas for closed hypersurfaces
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