scholarly journals Real hypersurfaces in complex projective space with recurrent structure Jacobi operator

2008 ◽  
Vol 26 (2) ◽  
pp. 218-223 ◽  
Author(s):  
Juan de Dios Pérez ◽  
Florentino G. Santos
Keyword(s):  
Projective Space ◽  
Complex Projective Space ◽  
Jacobi Operator ◽  
Real Hypersurfaces ◽  
Structure Jacobi Operator ◽  
Complex Projective

Real Hypersurfaces in Complex Projective Space Whose Structure Jacobi Operator is Lie 𝔻-parallel

2013 ◽  
Vol 56 (2) ◽  
pp. 306-316 ◽  
Author(s):  
Juan de Dios Pérez ◽  
Young Jin Suh
Keyword(s):  
Projective Space ◽  
Complex Projective Space ◽  
Jacobi Operator ◽  
Real Hypersurfaces ◽  
Structure Jacobi Operator ◽  
Complex Projective

AbstractWe prove the non-existence of real hypersurfaces in complex projective space whose structure Jacobi operator is Lie 𝔻-parallel and satisfies a further condition.

Real Hypersurfaces in Complex Projective Space Whose Structure Jacobi Operator Is of Codazzi Type

2007 ◽  
Vol 50 (3) ◽  
pp. 347-355 ◽  
Author(s):  
Juan de Dios Pérez ◽  
Florentino G. Santos ◽  
Young Jin Suh
Keyword(s):  
Projective Space ◽  
Complex Projective Space ◽  
Jacobi Operator ◽  
Real Hypersurfaces ◽  
Structure Jacobi Operator ◽  
Codazzi Type ◽  
Complex Projective

AbstractWe prove the non existence of real hypersurfaces in complex projective space whose structure Jacobi operator is of Codazzi type.

Two Conditions on the Structure Jacobi Operator for Real Hypersurfaces in Complex Projective Space

2011 ◽  
Vol 54 (3) ◽  
pp. 422-429 ◽  
Author(s):  
Juan de Dios Pérez ◽  
Young Jin Suh
Keyword(s):  
Projective Space ◽  
Complex Projective Space ◽  
Jacobi Operator ◽  
Real Hypersurfaces ◽  
Structure Jacobi Operator ◽  
Complex Projective

AbstractWe classify real hypersurfaces in complex projective space whose structure Jacobi operator satisfies two conditions at the same time.

Lie and generalized Tanaka–Webster derivatives on real hypersurfaces in complex projective spaces

2014 ◽  
Vol 25 (12) ◽  
pp. 1450115 ◽  
Author(s):  
Juan de Dios Pérez
Keyword(s):  
Complex Projective Space ◽  
Jacobi Operator ◽  
Shape Operator ◽  
Real Hypersurfaces ◽  
Lie Derivative ◽  
Structure Jacobi Operator ◽  
Complex Projective Spaces ◽  
Civita Connection ◽  
Levi Civita Connection ◽  
Complex Projective

On a real hypersurface M in complex projective space we can consider the Levi-Civita connection and for any nonnull constant k the kth g-Tanaka–Webster connection. We classify real hypersurfaces such that both the Lie derivative associated to the Levi-Civita connection and the kth g-Tanaka–Webster derivative in the direction of the structure vector field ξ coincide when we apply them to either the shape operator or the structure Jacobi operator of M.

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