Archiv der Mathematik

, Volume 81, Issue 3, pp 342–347

A characterization of quadrics by the principal curvature functions

Original paper

DOI: 10.1007/s00013-003-4735-8

Cite this article as:
Dillen, F., Lusala, T., Scherfner, M. et al. Arch. Math. (2003) 81: 342. doi:10.1007/s00013-003-4735-8


We consider the difference tensor field of the Levi-Civita connections of the first and third fundamental form for non-degenerate hypersurface immersions in space forms. Within this framework, we characterize quadrics in terms of their principal curvature functions.

Mathematics Subject Classification (2000):


Copyright information

© Birkhäuser-Verlag 2003

Authors and Affiliations

  1. 1.Departement WiskundeKatholieke Universiteit LeuvenLeuven - HeverleeBelgium
  2. 2.Institut für MathematikTechnische Universität BerlinBerlinGermany

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