On variational properties of static potentials

来源 :International Workshop on Conformal Geometry and Geometric P | 被引量 : 0次 | 上传用户：clone111

【摘要】

：

　　We discuss solutions to the static,vacuum Einstein equation on asymptotically at manifolds without a sign assumption imposed on the static potential.By anal

【作者】

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Pengzi Miao

【机构】

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UniversityofMiami

【出处】

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International Workshop on Conformal Geometry and Geometric P

【发表日期】

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2015年6期

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　　We discuss solutions to the static,vacuum Einstein equation on asymptotically at manifolds without a sign assumption imposed on the static potential.By analyzing the conformally related Fermat metric,we show that any noncompact component of the zero set of a static potential must be area minimizing.As applications,we obtain rigidity results for manifolds admitting unbounded static potentials.

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On variational properties of static potentials

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