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A rigidity theorem for higher codimensions

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Publication:1067219
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DOI10.1007/BF01458592zbMath0579.53006MaRDI QIDQ1067219

Marcos Dajczer, Manfredo Perdigão do Carmo

Publication date: 1986

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

Full work available at URL: https://eudml.org/doc/164117


zbMATH Keywords

second fundamental formrigiditytotally geodesic points


Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Global submanifolds (53C40)


Related Items (3)

Isometric deformations of compact Euclidean submanifolds in codimension 2 ⋮ Bending of surfaces. III ⋮ Singular genuine rigidity




Cites Work

  • Unnamed Item
  • Uniqueness of the normal connections and congruence of isometric immersions
  • Submanifolds of constant positive curvature. I
  • On the type number of hypersurfaces in spaces of constant curvature
  • On the completeness of nullity foliations
  • On Spherical Submanifolds with Nullity
  • Conformal Rigidity
  • Rigidity for Spaces of Class Greater Than One




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