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Hypersurfaces of the Homogeneous Nearly Kähler S3×S3 with P-Invariant Holomorphic Distributions.

Authors :
Yao, Zeke
Zhang, Xi
Hu, Zejun
Source :
Journal of Geometric Analysis; Jul2022, Vol. 32 Issue 7, p1-16, 16p
Publication Year :
2022

Abstract

In this paper, improving the results in [Ann Mat Pura Appl 199 (2020), 1147–1170] and [Manuscr Math, https://doi.org/10.1007/s00229-021-01308-4], we classify hypersurfaces of the homogeneous nearly Kähler manifold S 3 × S 3 of which holomorphic distributions are preserved by the canonical almost product structure P of S 3 × S 3 . We also characterize these hypersurfaces as Hopf ones with constant Reeb functions and hypersurfaces with weakly η -parallel shape operators. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
10506926
Volume :
32
Issue :
7
Database :
Complementary Index
Journal :
Journal of Geometric Analysis
Publication Type :
Academic Journal
Accession number :
157017519
Full Text :
https://doi.org/10.1007/s12220-022-00931-1