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VOL. 25 | 1997 On Deformations of Self-Dual Vector Bundles over Quaternionic Manifolds
James F. Glazebrook, Duraiswamy Sundararaman

Editor(s) Takao Akahori, Gen Komatsu, Kimio Miyajima, Makoto Namba, Keizo Yamaguchi

Abstract

In this paper we survey a number of results concerned with the deformations of quaternionic structures on classes of quaternionic manifolds and the deformation theory of Hermitian bundles with self-dual connections. The deformations in question are shown to correspond to the deformation theory of complex structures and holomorphic vector bundles over an associated complex manifold referred to as a twistor space. Results related to hypercomplex and hyperkähler manifolds are also discussed.

Information

Published: 1 January 1997
First available in Project Euclid: 15 August 2018

zbMATH: 0893.53009
MathSciNet: MR1476242

Digital Object Identifier: 10.2969/aspm/02510141

Rights: Copyright © 1997 Mathematical Society of Japan

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