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A uniqueness theorem for convex surfaces with no umbilical points and interrelated principal curvatures

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Publication:1358010
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DOI10.1007/BF02110734zbMath0874.53004MaRDI QIDQ1358010

No author found.

Publication date: 11 November 1997

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


zbMATH Keywords

principal curvaturesconvex surfacesright circular cylinder


Mathematics Subject Classification ID

Surfaces in Euclidean and related spaces (53A05)


Related Items (2)

Around Efimov's differential test for homeomorphism ⋮ Two-dimensional surfaces in 3-dimensional and 4-dimensional Euclidean spaces. Results and unsolved problems




Cites Work

  • A uniqueness theorem for a surface with principal curvatures connected by the relation \((1-k_ 1d)(1-k_ 2d)=-1\)
  • On conditions for existence of umbilical points on a convex surface
  • Über Flächen mit einer Relation zwischen den Hauptkrümmungen. Meinem Lehrer Erhard Schmidt in Verehrung und Freundschaft zum 75. Geburtstag gewidmet.




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