Linear instability of Sasaki Einstein and nearly parallel G2 manifolds-Reference-Cited by-同舟云学术

Linear instability of Sasaki Einstein and nearly parallel G2 manifolds

Published:2022-04-25 Issue:06 Volume:33 Page:
ISSN:0129-167X
Container-title:International Journal of Mathematics
language:en
Short-container-title:Int. J. Math.

Author:

Semmelmann Uwe¹,Wang Changliang²,Wang M. Y.-K.³^ORCID

Affiliation:

1. Institut für Geometrie und Topologie, Fachbereich Mathematik, Universität Stuttgart, Pfaffenwaldring 57, 70569 Stuttgart, Germany

2. School of Mathematical Sciences and Institute for Advanced Study, Tongji University, Shanghai 200092, P. R. China

3. Department of Mathematics and Statistics, McMaster University, Hamilton, Ontario L8S 4K1, Canada

Abstract

In this paper, we study the stability problem for the Einstein metrics on Sasaki Einstein and on complete nearly parallel [Formula: see text] manifolds. In the Sasaki case we show linear instability if the second Betti number is positive. Similarly, we prove that nearly parallel [Formula: see text] manifolds with positive third Betti number are linearly unstable. Moreover, we prove linear instability for the Berger space [Formula: see text] which is a [Formula: see text]-dimensional homology sphere with a proper nearly parallel [Formula: see text] structure.

Funder

canadian network for research and innovation in machining technology, natural sciences and engineering research council of canada

deutsche forschungsgemeinschaft

Publisher

World Scientific Pub Co Pte Ltd

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129167X22500422

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