Indices and nullities of Yang-Mills fields
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- by Hajime Urakawa PDF
- Proc. Amer. Math. Soc. 98 (1986), 475-479 Request permission
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 ${\left \| R \right \|_\infty }$.References
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Additional Information
- © Copyright 1986 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 98 (1986), 475-479
- MSC: Primary 58E15; Secondary 53C80, 58G30, 81E20
- DOI: https://doi.org/10.1090/S0002-9939-1986-0857945-0
- MathSciNet review: 857945