Ancient solution of mean curvature flow in space forms
نویسندگان
چکیده
In this paper we investigate the rigidity of ancient solutions mean curvature flow with arbitrary codimension in space forms. We first prove that under certain sharp asymptotic pointwise pinching condition solution a sphere is either shrinking spherical cap or totally geodesic sphere. Then show hyperbolic family spheres. also obtain result for nonnegatively curved form an integral condition.
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 2021
ISSN: ['2330-0000']
DOI: https://doi.org/10.1090/tran/8267