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A sufficient condition for a compact immersion to be spherical

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Publication:1171295
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DOI10.1007/BF01176481zbMath0498.53040WikidataQ61978234 ScholiaQ61978234MaRDI QIDQ1171295

Steen Markvorsen

Publication date: 1983

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173328


zbMATH Keywords

rigiditybounded mean curvaturecompact isometric immersions


Mathematics Subject Classification ID

Global submanifolds (53C40)


Related Items (5)

On the solutions to certain Laplace inequalities with applications to geometry of submanifolds ⋮ On the mean curvatures sharp estimates of hypersurfaces ⋮ Curvature properties of compact spacelike hypersurfaces in de Sitter space ⋮ On the Sectional Curvature of Compact Hypersurfaces ⋮ Bounded mean curvature isometric immersions of a compact Riemannian manifold with images contained in a tube




Cites Work

  • Unnamed Item
  • Jacobi tensors and Ricci curvature
  • An inequality between the exterior diameter and the mean curvature of bounded immersions
  • Elementary geometric applications of a maximum principle for nonlinear elliptic operators




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