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On rotation of complex structures

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Muñoz, Vicente (2015) On rotation of complex structures. Journal of geometry and physics, 87 . pp. 344-353. ISSN 0393-0440

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Official URL: http://www.sciencedirect.com/science/article/pii/S0393044014000047


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http://arxiv.org/abs/1307.8000Organisation


Abstract

We put in a general framework the situations in which a Riemannian manifold admits a family of compatible complex structures, including hyperkahler metrics and the Spin-rotations of arxiv:1302.2846. We determine the (polystable) holomorphic bundles which are rotable, i.e., they remain holomorphic when we change a complex structure by a different one in the family.


Item Type:Article
Uncontrolled Keywords:Hyperkahler manifold; Hyperholomorphic bundle; Hermitian-Yang-Mills connection; Spin(7)-instanton
Subjects:Sciences > Mathematics
ID Code:29080
Deposited On:06 Mar 2015 09:37
Last Modified:12 Dec 2018 15:12

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