Malaysian Journal of Mathematical Sciences, September 2016, Vol. 10, No. 3
On Characterizations of Real Hypersurface related to the Shape Operator and Structure Tensor in Nonflat Complex Space Form
Dong Ho Lim
Corresponding Email: dhlim@sehan.ac.kr
Received date: -
Accepted date: -
Abstract:
In this paper, I investigate the real hypersurfaces in complex space form $M_{n}(c)$, $c \neq 0$ under the condition that $L_{\xi}(\phi A + A\phi) = 0$, where $L_{\xi}$ and $\phi A + A\phi$ denote the structure Lie operator of $M$ and the operator is composed by the shape operator and the structure tensor $\phi$.
Keywords: real hypersurface, Structure Lie operator, Shape operator, Hopf hypersurfaces, structure tensor, model space of type A
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