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Geometric flows of G2-structures on 3-Sasakian 7-manifolds

Abstract:

A 3-Sasakian structure on a 7-manifold may be used to define two distinct Einstein metrics: the 3-Sasakian metric and the squashed Einstein metric. Both metrics are induced by nearly parallel G2-structures which may also be expressed in terms of the 3-Sasakian structure. Just as Einstein metrics are critical points for the Ricci flow up to rescaling, nearly parallel G2-structures provide natural critical points of the (rescaled) geometric flows of G2-struct...

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Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1016/j.geomphys.2023.104793

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Oxford college:
Balliol College
Role:
Author
ORCID:
0000-0002-0456-4538
Publisher:
Elsevier
Journal:
Journal of Geometry and Physics More from this journal
Volume:
187
Article number:
104793
Publication date:
2023-03-15
Acceptance date:
2023-02-20
DOI:
EISSN:
1879-1662
ISSN:
0393-0440
Language:
English
Keywords:
Pubs id:
1300924
Local pid:
pubs:1300924
Deposit date:
2023-02-22

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