Transversal Killing operators on real hypersurfaces in nonflat complex space forms

Y Wang, Y Zhang - Differential Geometry and its Applications, 2022 - Elsevier
Transversal Killing operators on real hypersurfaces in nonflat complex space forms - ScienceDirect
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Semi-parallel symmetric operators for Hopf hypersurfaces in complex two-plane Grassmannians

DH Hwang, H Lee, C Woo - Monatshefte für Mathematik, 2015 - Springer
In this paper, we introduce new notions of semi-parallel shape operators and structure
Jacobi operators in complex two-plane Grassmannians G_2 (\mathbb C^ m+ 2) G 2 (C m+ …

GTW parallel structure Jacobi operator of real hypersurfaces in nonflat complex space forms

Y Wang, P Wang - Journal of Geometry and Physics, 2023 - Elsevier
We classify real hypersurfaces in nonflat complex space forms of complex dimension two
whose structure Jacobi operator is parallel with respect to the generalized Tanaka-Webster …

On some hypersurfaces of and

Z Hu, X Zhang - Revista de la Real Academia de Ciencias Exactas …, 2024 - Springer
We first classify Hopf hypersurfaces of both S 2× S 2 and H 2× H 2 which satisfy one of the
three conditions:(1) constant mean curvature,(2) constant scalar curvature,(3) constant …

Semi-parallelism of normal Jacobi operator for Hopf hypersurfaces in complex two-plane Grassmannians

K Panagiotidou, MM Tripathi - Monatshefte für Mathematik, 2013 - Springer
It is proved the non-existence of Hopf hypersurfaces in G_ 2 (C^ m+ 2), m ≥ 3 G 2 (C m+ 2),
m≥ 3, whose normal Jacobi operator is semi-parallel, if the principal curvature of the Reeb …

[PDF][PDF] Real hypersurfaces equipped with pseudo-parallel structure Jacobi operator in CP^ 2 and CH^ 2

K Panagiotidou, PJ Xenos - arxiv preprint arxiv:1201.2270, 2012 - arxiv.org
arxiv:1201.2270v1 [math.DG] 11 Jan 2012 Page 1 arxiv:1201.2270v1 [math.DG] 11 Jan
2012 REAL HYPERSURFACES EQUIPPED WITH PSEUDO-PARALLEL STRUCTURE …

[PDF][PDF] η-umbilical hypersurfaces in P2C and H2C

JT Cho, M Kimura - 島根大学総合理工学部紀要. シリーズ B, 2011 - math.shimane-u.ac.jp
η-UMBILICAL HYPERSURFACES IN P2C AND H2C 1. Introduction Let ( M , J, g) be an n-dimensional
Kähler manifold with a Kähle Page 1 Mem. Fac. Sci. Eng. Shimane Univ. Series B …

Real hypersurfaces in complex Grassmannians of rank two with semi-parallel structure Jacobi operator

A De, TH Loo, C Woo - arxiv preprint arxiv:1712.05108, 2017 - arxiv.org
We prove that there does not exist any real hypersurface in complex Grassmannians of rank
two with semi-parallel structure Jacobi operator. With this result, the nonexistence of real …

[PDF][PDF] Doo Hyun Hwang, Hyun** Lee &

C Woo - researchgate.net
Semi-parallel symmetric operators for Hopf hypersurfaces in complex two-plane
Grassmannians Page 1 123 Monatshefte für Mathematik ISSN 0026-9255 Monatsh Math DOI …

Nullity distributions on real hypersurfaces in non-flat complex space forms

K Panagiotidou - arxiv preprint arxiv:1601.03509, 2016 - arxiv.org
In this paper the result of real hypersurfaces in non-flat complex space forms, whose
structure vector field $\xi $ belongs to the $\kappa $-nullity distribution is extended in case of …