On Einstein four-manifolds with S1-actions |
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| Authors: | Harish Seshadri |
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| Affiliation: | (1) Department of Mathematics, SUNY at Stony Brook, Stony Brook, NY 11794, USA;(2) Department of Mathematics, University of Oregon, Eugene, OR 97403, USA |
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| Abstract: | We study closed Einstein 4-manifolds which admit S1 actions of a certain type, i.e., warped products. In particular, we classify them up to isometry when the fixed point of the S1 action satisfies certain natural geometric conditions. The proof uses the Bochner-Weitzenböck formula for 1-forms and the theory of minimal surfaces in 3-manifolds.in final form: 22 January 2003 |
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