REAL HYPERSURFACES OF TYPE A IN COMPLEX TWO-PLANE GRASSMANNIANS RELATED TO THE NORMAL JACOBI OPERATOR

Title & Authors
REAL HYPERSURFACES OF TYPE A IN COMPLEX TWO-PLANE GRASSMANNIANS RELATED TO THE NORMAL JACOBI OPERATOR
Jeong, Im-Soon; Suh, Young-Jin; Tripathi, Mukut Mani;

Abstract
In this paper we give a characterization of real hypersurfaces of type (A) in a complex two-plane Grassmannian $\small{G_2(\mathbb{C}^{m+2})}$ which is a tube over a totally geodesic $\small{G_2(\mathbb{C}^{m+1})}$ in $\small{G_2(\mathbb{C}^{m+2})}$, in terms of two commuting conditions related to the normal Jacobi operator and the shape operator.
Keywords
real hypersurfaces;Hopf hypersurfaces;normal Jacobi operator;shape operator;commuting conditions;
Language
English
Cited by
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