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One Chern - Kuiper theorem

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Publication:1131741
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DOI10.1007/BF00972803zbMath0418.53024OpenAlexW2082981324MaRDI QIDQ1131741

Yu. E. Borovskij, S. Z. Shefel'

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1007/bf00972803


zbMATH Keywords

surfacecompact manifoldnonpositive curvatureChern-Kuiper theoremnonimmersibility


Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)


Related Items (1)

Rigidity of spheres in Riemannian manifolds and a non-embedding theorem



Cites Work

  • Unnamed Item
  • On the existence of solutions of a system of quadratic equations and its geometrical application
  • Some theorems on the isometric imbedding of compact Riemann manifolds in Euclidean space


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