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Indices and nullities of Yang-Mills fields

Author: Hajime Urakawa
Journal: Proc. Amer. Math. Soc. 98 (1986), 475-479
MSC: Primary 58E15; Secondary 53C80, 58G30, 81E20
MathSciNet review: 857945
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Abstract: In this note, we give an upper estimate of index and nullity of every Yang-Mills field $ R$ on every principal bundle $ P$ with structure group $ G$ over a Riemannian manifold $ (M,g)$ with Ricci tensor $ \operatorname{Ric} \geqslant kg,k > 0$, in terms of $ \dim (M)$, $ \dim (G)$, $ k$, and $ {\left\Vert R \right\Vert _\infty }$.

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Keywords: Yang-Mills field, index, nullity, eigenvalue
Article copyright: © Copyright 1986 American Mathematical Society

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