REAL HYPERSURFACES IN COMPLEX TWO-PLANE GRASSMANNIANS WHOSE SHAPE OPERATOR IS OF CODAZZI TYPE IN GENERALIZED TANAKA-WEBSTER CONNECTION

Title & Authors
REAL HYPERSURFACES IN COMPLEX TWO-PLANE GRASSMANNIANS WHOSE SHAPE OPERATOR IS OF CODAZZI TYPE IN GENERALIZED TANAKA-WEBSTER CONNECTION
Cho, Kyusuk; Lee, Hyunjin; Pak, Eunmi;

Abstract
In this paper, we give a non-existence theorem of Hopf hypersurfaces in complex two-plane Grassmannians $\small{G_2(\mathbb{C}^{m+2})}$, $\small{m{\geq}3}$, whose shape operator is of Codazzi type in generalized Tanaka-Webster connection $\small{\hat{\nabla}^{(k)}}$.
Keywords
complex two-plane Grassmannians;Hopf hypersurface;generalized Tanaka-Webster connection;shape operator;Codazzi type tensor;
Language
English
Cited by
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