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Mean curvature flow of hypersurfaces in Einsteinnian manifold

Mean curvature flow of hypersurfaces in Einsteinnian manifold
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摘要 Huisken proved that any hypersurface M<sub>0</sub> satisfying a suitable convexity conditionin a Riemannian manifold contracts to a simple point during the evolution along its meancurvature vector. In this letter the author studies the evolution of hypersurfaces in a posi-tive pinched Einsteinnian manifold N<sup>n+1</sup> without assuming the convexity of initialhypersurface M<sub>0</sub> and obtains the same convergent result.
作者 蔡开仁
出处 《Chinese Science Bulletin》 SCIE EI CAS 1996年第7期616-616,共1页
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