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2016 Anti-invariant Riemannian Submersions: A Lie-theoretical Approach
Peter Gilkey, Mitsuhiro Itoh, JeongHyeong Park
Taiwanese J. Math. 20(4): 787-800 (2016). DOI: 10.11650/tjm.20.2016.6898

Abstract

We give a construction which is Lie theoretic of anti-invariant Riemannian submersions from almost Hermitian manifolds, from quaternion manifolds, from para-Hermitian manifolds, from para-quaternion manifolds, and from octonian manifolds. This yields many compact Einstein examples.

Citation

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Peter Gilkey. Mitsuhiro Itoh. JeongHyeong Park. "Anti-invariant Riemannian Submersions: A Lie-theoretical Approach." Taiwanese J. Math. 20 (4) 787 - 800, 2016. https://doi.org/10.11650/tjm.20.2016.6898

Information

Published: 2016
First available in Project Euclid: 1 July 2017

zbMATH: 1357.53036
MathSciNet: MR3535674
Digital Object Identifier: 10.11650/tjm.20.2016.6898

Subjects:
Primary: 53C15
Secondary: 53B20 , 53C43

Keywords: anti-invariant almost Hermitian , anti-invariant octonian , anti-invariant para-Hermitian , anti-invariant para-quaternion , anti-invariant quaternion , Riemannian submersion

Rights: Copyright © 2016 The Mathematical Society of the Republic of China

Vol.20 • No. 4 • 2016
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