Mathematische Zeitschrift On Einstein four-manifolds with S1-actions
نویسندگان
چکیده
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.
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تاریخ انتشار 2004