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On Real Hypersurfaces in S2×S2 and H2×H2 with Parallel Normal Jacobi Operator.

Authors :
Hu, Zejun
Lu, Xiaoge
Source :
Mediterranean Journal of Mathematics; Jun2024, Vol. 21 Issue 4, p1-16, 16p
Publication Year :
2024

Abstract

In this paper, we study real hypersurfaces of the two Kähler surfaces S 2 × S 2 and H 2 × H 2. As the main results, amongst others, we classify all such hypersurfaces whose normal Jacobi operators are parallel with respect to either the Levi-Civita connection or the k-generalized Tanaka–Webster connection. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
16605446
Volume :
21
Issue :
4
Database :
Complementary Index
Journal :
Mediterranean Journal of Mathematics
Publication Type :
Academic Journal
Accession number :
178046569
Full Text :
https://doi.org/10.1007/s00009-024-02674-5