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- W4387656445 abstract "In this paper, we study curve shortening flows on rotational surfaces in ℝ3. We assume that the surfaces have negative Gauss curvatures and that some condition related to the Gauss curvature and the curvature of an embedded curve holds on them. Under these assumptions, we prove that the curve remains a graph over the parallels of the rotational surface along the flow. Also, we prove the comparison principle and the long-time existence of the flow." @default.
- W4387656445 created "2023-10-16" @default.
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- W4387656445 date "2023-01-01" @default.
- W4387656445 modified "2023-10-16" @default.
- W4387656445 title "CURVE SHORTENING FLOWS ON ROTATIONAL SURFACES GENERATED BY MONOTONE CONVEX FUNCTIONS" @default.
- W4387656445 doi "https://doi.org/10.2206/kyushujm.77.179" @default.
- W4387656445 hasPublicationYear "2023" @default.
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