Real Hypersurfaces in Complex Two-plane Grassmannians with F-parallel Normal Jacobi Operator

- Journal title : Kyungpook mathematical journal
- Volume 51, Issue 4, 2011, pp.395-410
- Publisher : Department of Mathematics, Kyungpook National University
- DOI : 10.5666/KMJ.2011.51.4.395

Title & Authors

Real Hypersurfaces in Complex Two-plane Grassmannians with F-parallel Normal Jacobi Operator

Jeong, Im-Soon; Suh, Young-Jin;

Jeong, Im-Soon; Suh, Young-Jin;

Abstract

In this paper we give a non-existence theorem for Hopf hypersurfaces M in complex two-plane Grassmannians whose normal Jacobi operator is parallel on the distribution F defined by , where [] = Span{}, = Span {, , } and , .

Keywords

Real hypersurfaces;Complex two-plane Grassmannians;F-parallel normal Jacobi operator;Hopf hypersurfaces;

Language

English

Cited by

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