Some recurrent normal Jacobi operators on real hypersurfaces in complex two-plane Grassmannians

2019 ◽  
Vol 95 (3-4) ◽  
pp. 307-319
Author(s):  
Yaning Wang
Keyword(s):  
Real Hypersurfaces ◽  
Jacobi Operators

scholarly journals REAL HYPERSURFACES WITH CYCLIC-PARALLEL STRUCTURE JACOBI OPERATORS IN A NONFLAT COMPLEX SPACE FORM

2009 ◽  
Vol 81 (2) ◽  
pp. 260-273 ◽  
Author(s):  
U-HANG KI ◽  
HIROYUKI KURIHARA
Keyword(s):  
Complex Space ◽  
Space Form ◽  
Jacobi Operator ◽  
Complex Space Form ◽  
Parallel Structure ◽  
Real Hypersurfaces ◽  
Structure Jacobi Operator ◽  
Jacobi Operators

AbstractIt is known that there are no real hypersurfaces with parallel structure Jacobi operators in a nonflat complex space form. In this paper, we classify real hypersurfaces in a nonflat complex space form whose structure Jacobi operator is cyclic-parallel.

scholarly journals REAL HYPERSURFACES IN QUATERNIONIC PROJECTIVE SPACES WITH COMMUTING TANGENT JACOBI OPERATORS

2003 ◽  
Vol 45 (1) ◽  
pp. 79-89 ◽  
Author(s):  
MIGUEL ORTEGA ◽  
JUAN DE DIOS PREZ ◽  
YOUNG JIN SUH
Keyword(s):  
Projective Spaces ◽  
Real Hypersurfaces ◽  
Jacobi Operators

scholarly journals Transversal Jacobi Operators in Almost Contact Manifolds

Mathematics ◽  
2020 ◽  
Vol 9 (1) ◽  
pp. 31
Author(s):  
Jong Taek Cho ◽  
Makoto Kimura
Keyword(s):  
Riemannian Manifold ◽  
Hyperbolic Space ◽  
Jacobi Operator ◽  
Real Hypersurfaces ◽  
Contact Manifolds ◽  
Jacobi Operators ◽  
Ruled Real Hypersurfaces ◽  
Contact Distribution ◽  
Contact Riemannian Manifold

Along a transversal geodesic γ whose tangent belongs to the contact distribution D, we define the transversal Jacobi operator Rγ=R(·,γ˙)γ˙ on an almost contact Riemannian manifold M. Then, using the transversal Jacobi operator Rγ, we give a new characterization of the Sasakian sphere. In the second part, we characterize the complete ruled real hypersurfaces in complex hyperbolic space.

scholarly journals Real hypersurfaces in complex hyperbolic two-plane Grassmannians with commuting restricted normal Jacobi operators

2017 ◽  
Vol 67 (4) ◽  
pp. 989-1004
Author(s):  
Doo Hyun Hwang ◽  
Eunmi Pak ◽  
Changhwa Woo
Keyword(s):  
Real Hypersurfaces ◽  
Jacobi Operators
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