Abstract.
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.
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Received: 17 May 2002; revised manuscript accepted: 5 August 2002
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Dillen, F., Lusala, T., Scherfner, M. et al. A characterization of quadrics by the principal curvature functions. Arch. Math. 81, 342–347 (2003). https://doi.org/10.1007/s00013-003-4735-8
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DOI: https://doi.org/10.1007/s00013-003-4735-8