Conformal vector fields on four–manifolds with negative scalar curvature |
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| Authors: | Matthew J Gursky |
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| Institution: | (1) Department of Mathematics, Indiana University, Bloomington, IN 47405-5701, USA (e-mail: gursky@indiana.edu) , US |
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| Abstract: | We prove a vanishing theorem for conformal vector fields on four–manifolds of negative scalar curvature. Our assumptions
are conformally invariant, and in the case of locally conformally flat manifolds reduce to a sign condition on the Euler characteristic.
Received April 14, 1998; in final form May 15, 1998 |
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