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math.DG2014
Curvature Motion in Time-dependent Minkowski Planes
Vitor Balestro
In this paper we study a flow by minkowskian curvature where we have a different Minkowski plane at each time. We derive some evolution formulas, present sufficient hypotesis for t…
math.DG2014
Curvature Motion in a Minkowski Plane
Vitor Balestro, Marcos Craizer, Ralph C. Teixeira
In this paper we study the curvature flow of a curve in a plane endowed with a minkowskian norm whose unit ball is smooth. We show that many of the properties known in the euclidea…