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

DOI:
https://doi.org/10.1090/S0002-9939-99-04977-1

Published electronically:
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:
https://doi.org/10.1090/S0002-9939-99-04977-1

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