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On the maximum principles of A. D. Alexandrov in the uniqueness theory for hypersurfaces

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Publication:1150152
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DOI10.1007/BF00249678zbMath0455.53002OpenAlexW2024299231MaRDI QIDQ1150152

Philip Hartman

Publication date: 1980

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00249678


zbMATH Keywords

characterization of spheres


Mathematics Subject Classification ID

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


Related Items

A geometric problem and the Hopf lemma. II



Cites Work

  • Unnamed Item
  • Isometric immersions with semi-definite second quadratic forms
  • Beweismethoden der Differentialgeometrie im Großen
  • Some characterizations of the euclidean sphere
  • On Complete Hypersurfaces of Nonnegative Sectional Curvatures and Constant mth Mean Curvatures
  • On Hypersurfaces with no Negative Sectional Curvatures
  • On hypersurfaces with constant scalar curvature in a Riemannian manifold of constant curvature
  • On Parallel Surfaces
  • A Remark on Linear Elliptic Differential Equations of Second Order
  • On the Third Fundamental Form of a Surface
  • Umbilical Points and W-Surfaces
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