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Search: MSC category 53B25 ( Local submanifolds [See also 53C40] )

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1. CMB 2016 (vol 59 pp. 813)

Kaimakamis, George; Panagiotidou, Konstantina; Pérez, Juan de Dios
A Classification of Three-dimensional Real Hypersurfaces in Non-flat Complex Space Forms in Terms of Their generalized Tanaka-Webster Lie Derivative
On a real hypersurface $M$ in a non-flat complex space form there exist the Levi-Civita and the k-th generalized Tanaka-Webster connections. The aim of the present paper is to study three dimensional real hypersurfaces in non-flat complex space forms, whose Lie derivative of the structure Jacobi operator with respect to the Levi-Civita connections coincides with the Lie derivative of it with respect to the k-th generalized Tanaka-Webster connection. The Lie derivatives are considered in direction of the structure vector field and in directions of any vecro field orthogonal to the structure vector field.

Keywords:$k$-th generalized Tanaka-Webster connection, non-flat complex space form, real hypersurface, Lie derivative, structure Jacobi operator
Categories:53C15, 53B25

2. CMB 2011 (vol 54 pp. 422)

Pérez, Juan de Dios; Suh, Young Jin
Two Conditions on the Structure Jacobi Operator for Real Hypersurfaces in Complex Projective Space
We classify real hypersurfaces in complex projective space whose structure Jacobi operator satisfies two conditions at the same time.

Keywords:complex projective space, real hypersurface, structure Jacobi operator, two conditions
Categories:53C15, 53B25

3. CMB 2007 (vol 50 pp. 347)

Pérez, Juan de Dios; Santos, Florentino G.; Suh, Young Jin
Real Hypersurfaces in Complex Projective Space Whose Structure Jacobi Operator Is of Codazzi Type
We prove the non existence of real hypersurfaces in complex projective space whose structure Jacobi operator is of Codazzi type.

Categories:53C15, 53B25

4. CMB 2004 (vol 47 pp. 492)

Boumuki, Nobutaka
Isotropic Immersions with Low Codimension of Complex Space Forms into Real Space Forms
The main purpose of this paper is to determine isotropic immersions of complex space forms into real space forms with low codimension. This is an improvement of a result of S. Maeda.

Categories:53B25, 53C235

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