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http://dx.doi.org/10.4134/BKMS.2005.42.2.279

REAL HYPERSURFACES OF THE JACOBI OPERATOR WITH RESPECT TO THE STRUCTURE VECTOR FIELD IN A COMPLEX SPACE FORM  

AHN, SEONG-SOO (DEPARTMENT OF COMPUTER, DONGSHIN UNIVERSITY)
Publication Information
Bulletin of the Korean Mathematical Society / v.42, no.2, 2005 , pp. 279-294 More about this Journal
Abstract
We study a real hypersurface M satisfying $L_{\xi}S=0\;and\;R_{\xi}S=SR_{\xi}$ in a complex hyperbolic space $H_n\mathbb{C}$, where S is the Ricci tensor of type (1,1) on M, $L_{\xi}\;and\;R_{\xi}$ denotes the operator of the Lie derivative and the Jacobi operator with respect to the structure vector field e respectively.
Keywords
real hypersurface; principal curvature vector; Lie derivative; Jacobi operator;
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