Open Access
October 2011 Real hypersurfaces in complex two-plane Grassmannians with generalized Tanaka-Webster parallel shape operator
Imsoon Jeong, Hyunjin Lee, Young Jin Suh
Kodai Math. J. 34(3): 352-366 (October 2011). DOI: 10.2996/kmj/1320935546

Abstract

We introduce the notion of generalized Tanaka-Webster connection for hypersurfaces in complex two-plane Grassmannians G2(Cm+2) and give a non-existence theorem for Hopf hypersurfaces in G2(Cm+2) with parallel shape operator in this connection.

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Imsoon Jeong. Hyunjin Lee. Young Jin Suh. "Real hypersurfaces in complex two-plane Grassmannians with generalized Tanaka-Webster parallel shape operator." Kodai Math. J. 34 (3) 352 - 366, October 2011. https://doi.org/10.2996/kmj/1320935546

Information

Published: October 2011
First available in Project Euclid: 10 November 2011

zbMATH: 1231.53049
MathSciNet: MR2757819
Digital Object Identifier: 10.2996/kmj/1320935546

Rights: Copyright © 2011 Tokyo Institute of Technology, Department of Mathematics

Vol.34 • No. 3 • October 2011
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