On Biconservative Lorentz Hypersurface with Non-diagonalizable Shape Operator

In this paper, we obtain some properties of biconservative Lorentz hypersurface M 1 n in E 1 n + 1 having shape operator with complex eigenvalues. We prove that every biconservative Lorentz hypersurface M 1 n in E 1 n + 1 whose shape operator has complex eigenvalues with at most five distinct princi...

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Bibliographic Details
Published in:Mediterranean journal of mathematics 2017-06, Vol.14 (3), p.1-18, Article 127
Main Author: Deepika
Format: Article
Language:English
Subjects:
Curvature
Eigenvalues
Mathematical analysis
Mathematics
Mathematics and Statistics
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Summary:In this paper, we obtain some properties of biconservative Lorentz hypersurface M 1 n in E 1 n + 1 having shape operator with complex eigenvalues. We prove that every biconservative Lorentz hypersurface M 1 n in E 1 n + 1 whose shape operator has complex eigenvalues with at most five distinct principal curvatures has constant mean curvature. In addition, we investigate such a type of hypersurface with constant length of second fundamental form having six distinct principal curvatures.
ISSN:1660-5446
1660-5454
DOI:10.1007/s00009-017-0926-6