On Some Semi-invariant submanifolds of codimension 3 in a complex Projective Space
Commun. Korean Math. Soc. 2003 Vol. 18, No. 2, 309-323
Printed June 1, 2003
Seong-Baek Lee, Soo-Jin Kim
Chosun University, Chosun University
Abstract : In this paper, We characterize a semi-invariant submanifold of codimension 3 satisfying $\nabla_{\xi}A=0$ in a complex projective space ${\Bbb{C}}P^{n+1}$, where $\nabla_{\xi}A$ is the covariant derivative of the shape operator $A$ in the direction of the distinguished normal with respect to the structure vector field $\xi$.
Keywords : Semi-invariant submanifold, distinguished normal, shape operator, Hopf real hypersurface
MSC numbers : 53C25, 53C40, 53C42
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