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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(e) ISSN 0002-9939(p)

     

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

Author(s): Yasuyuki Nagatomo
Journal: Proc. Amer. Math. Soc. 127 (1999), 3043-3048.
MSC (1991): Primary 53C07
Posted: April 23, 1999
MathSciNet review: 1616637
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Abstract | References | Similar articles | Additional information

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: 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
Posted: April 23, 1999
Communicated by: Ronald A. Fintushel
Copyright of article: Copyright 1999, American Mathematical Society




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