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- W4292639470 abstract "We study a volume preserving curvature flow of convex hypersurfaces, driven by a power of the $k$-th elementary symmetric polynomial in the principal curvatures. Unlike most of the previous works on related problems, we do not require assumptions on the curvature pinching of the initial datum. We prove that the solution exists for all times and that the speed remains bounded and converges to a constant in an integral norm. In the case of the volume preserving scalar curvature flow, we can prove that the hypersurfaces converge smoothly and exponentially fast to a round sphere." @default.
- W4292639470 created "2022-08-22" @default.
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- W4292639470 date "2017-08-15" @default.
- W4292639470 modified "2023-09-29" @default.
- W4292639470 title "Volume preserving flow by powers of symmetric polynomials in the principal curvatures" @default.
- W4292639470 doi "https://doi.org/10.48550/arxiv.1708.04573" @default.
- W4292639470 hasPublicationYear "2017" @default.
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