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2017 | OriginalPaper | Chapter

Biharmonic Homogeneous Submanifolds in Compact Symmetric Spaces

Authors : Shinji Ohno, Takashi Sakai, Hajime Urakawa

Published in: Hermitian–Grassmannian Submanifolds

Publisher: Springer Singapore

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Abstract

This paper is a survey of our recent works on biharmonic homogeneous submanifolds in compact symmetric spaces (Biharmonic homogeneous submanifolds in compact symmetric spaces and compact Lie groups (in preparation), Biharmonic homogeneous hypersurfaces in compact symmetric spaces. Differ Geom Appl 43, 155–179 (2015)) [12, 13]. We give a necessary and sufficient condition for an isometric immersion whose tension field is parallel to be biharmonic. By this criterion, we study biharmonic orbits of commutative Hermann actions in compact symmetric spaces, and give some classifications.

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previous chapter The Solvable Models of Noncompact Real Two-Plane Grassmannians and Some Applications

next chapter Recent Results on Real Hypersurfaces in Complex Quadrics

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Ohno, S., Sakai, T., Urakawa, H.: Biharmonic homogeneous submanifolds in compact symmetric spaces and compact Lie groups (in preparation)

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Title: Biharmonic Homogeneous Submanifolds in Compact Symmetric Spaces
Authors: Shinji Ohno
Takashi Sakai
Hajime Urakawa
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_27

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