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Bull. Korean Math. Soc. 2008; 45(3): 495-507

Printed September 1, 2008

Copyright © The Korean Mathematical Society.

Real hypersurfaces in complex two-plane Grassmannians with commuting structure Jacobi operator

Young Jin Suh and Hae Young Yang

Kyungpook National University, Kyungpook National University

Abstract

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In this paper we give a complete classification of real hypersurfaces in complex two-plane Grassmannians $G_2({\mathbb C}^{m+2})$ with commuting structure Jacobi operator $R_{\xi}$ and another geometric condition.

Keywords: real hypersurfaces, complex two-plane Grassmannians, commuting structure Jacobi operator, Reeb flow

MSC numbers: Primary 53C40; Secondary 53C15

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