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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Examples of vector bundles
admitting unique ASD connections
on quaternion-Kähler manifolds


Author: Yasuyuki Nagatomo
Journal: Proc. Amer. Math. Soc. 127 (1999), 3043-3048
MSC (1991): Primary 53C07
Published electronically: April 23, 1999
MathSciNet review: 1616637
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Abstract: We prove a series of rigidity theorems. Examples of higher rank ASD vector bundles are given on quaternion-Kähler manifolds, which admit the one and only ASD connections modulo the gauge equivalence.


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Additional Information

Yasuyuki Nagatomo
Affiliation: Institute of Mathematics, University of Tsukuba, Tsukuba-shi, Ibaraki 305-8571, Japan
Email: nagatomo@math.tsukuba.ac.jp

DOI: http://dx.doi.org/10.1090/S0002-9939-99-04977-1
PII: S 0002-9939(99)04977-1
Received by editor(s): October 15, 1997
Received by editor(s) in revised form: December 17, 1997
Published electronically: April 23, 1999
Communicated by: Ronald A. Fintushel
Article copyright: © Copyright 1999 American Mathematical Society