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1 November 2010 Twisting Hermitian and hypercomplex geometries
Andrew Swann
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Duke Math. J. 155(2): 403-431 (1 November 2010). DOI: 10.1215/00127094-2010-059

Abstract

A twist construction for manifolds with torus action is described generalizing certain T-duality examples and constructions in hypercomplex geometry. It is applied to complex, SKT, hypercomplex, and HKT manifolds to construct compact simply connected examples. In particular, we find hypercomplex manifolds that admit no compatible HKT metric, and HKT manifolds whose Obata connection has holonomy contained in SL(n,H).

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Andrew Swann. "Twisting Hermitian and hypercomplex geometries." Duke Math. J. 155 (2) 403 - 431, 1 November 2010. https://doi.org/10.1215/00127094-2010-059

Information

Published: 1 November 2010
First available in Project Euclid: 27 October 2010

zbMATH: 1214.53060
MathSciNet: MR2736170
Digital Object Identifier: 10.1215/00127094-2010-059

Subjects:
Primary: 53C55
Secondary: 32C37, 53C25, 53C29, 57S25

Rights: Copyright © 2010 Duke University Press

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Vol.155 • No. 2 • 1 November 2010
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