On bounds of entropy and total curvature for ancient curve shortening flows
Sign Up to like & getrecommendations! Published in 2024 at "Annals of Global Analysis and Geometry"
DOI: 10.1007/s10455-025-10019-y
Abstract: Bounds of total curvature and entropy are two common conditions placed on mean curvature flows. We show that these two hypotheses are equivalent for the class of ancient complete embedded smooth planar curve shortening flows,… read more here.
Keywords: total curvature; ancient; shortening flows; curve shortening ... See more keywords
The total curvature of knots under second-order infinitesimal bending
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Knot Theory and Its Ramifications"
DOI: 10.1142/s0218216519500056
Abstract: In this paper, we consider infinitesimal bending of the second-order of curves and knots. The total curvature of the knot during the second-order infinitesimal bending is discussed and expressions for the first and the second… read more here.
Keywords: order infinitesimal; second order; total curvature; infinitesimal bending ... See more keywords