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Constant Mean Curvature Spacelike Hypersurfaces in Spacetimes with Certain Causal Symmetries Read chapter Read first chapter

2017 | OriginalPaper | Chapter

Reeb Recurrent Structure Jacobi Operator on Real Hypersurfaces in Complex Two-Plane Grassmannians

Authors : Hyunjin Lee, Young Jin Suh

Published in: Hermitian–Grassmannian Submanifolds

Publisher: Springer Singapore

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Abstract

In (Jeong et al., Acta Math Hungar 122(1–2), 173–186, 2009) [7], Jeong, Pérez, and Suh verified that there does not exist any connected Hopf hypersurface in complex two-plane Grassmannians with parallel structure Jacobi operator. In this paper, we consider more general notions as Reeb recurrent or \(\mathscr {Q}^{\bot }\)-recurrent structure Jacobi operator. By using these general notions, we give some new characterizations of Hopf hypersurfaces in complex two-plane Grassmannians.

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previous chapter The Schwarz Lemma for Super-Conformal Maps
next chapter Hamiltonian Non-displaceability of the Gauss Images of Isoprametric Hypersurfaces (A Survey)
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Metadata
Title
Reeb Recurrent Structure Jacobi Operator on Real Hypersurfaces in Complex Two-Plane Grassmannians
Authors
Hyunjin Lee
Young Jin Suh
Copyright Year
2017
Publisher
Springer Singapore
Book
Hermitian–Grassmannian Submanifolds

Print ISBN: 978-981-10-5555-3

Electronic ISBN: 978-981-10-5556-0

Copyright Year: 2017

DOI
https://doi.org/10.1007/978-981-10-5556-0_7

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