Biconservative Hypersurfaces in E14 with Non-diagonalizable Shape Operator

Biconservative Hypersurfaces in E14 with Non-diagonalizable Shape Operator

In this paper, we study biconservative isometric immersions into Minkowski 4-space E 1 4 . We obtain the local classification of biconservative hypersurfaces with non-diagonalizable shape operator. As a result, we complete the local study of biconservative hypersurfaces of E 1 4 initiated in Fu and...

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Veröffentlicht in:Mediterranean journal of mathematics 2023, Vol.20 (3)
Hauptverfasser: Kayhan, Aykut, Turgay, Nurettin Cenk
Format: Artikel
Sprache:eng
Schlagworte:
Hyperspaces
Mathematics
Mathematics and Statistics
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Zusammenfassung:In this paper, we study biconservative isometric immersions into Minkowski 4-space E 1 4 . We obtain the local classification of biconservative hypersurfaces with non-diagonalizable shape operator. As a result, we complete the local study of biconservative hypersurfaces of E 1 4 initiated in Fu and Turgay (Int J Math 27:1650041, 2016). We also get some results considering the intrinsic properties of this class of hypersurfaces.
ISSN:1660-5446
1660-5454
DOI:10.1007/s00009-023-02286-5