A Class Of Curvature Flows Expanded By Support Function And Curvature Function In The Euclidean Space And Hyperbolic Space

2021/04/10 by Ding, Shanwei, Li, Guanghan
#Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2104.04783

Abstract

In this paper, we first consider a class of expanding flows of closed, smooth, star-shaped hypersurface in Euclidean space ℝⁿ⁺¹ with speed u^αf^-β, where u is the support function of the hypersurface, f is a smooth, symmetric, homogenous of degree one, positive function of the principal curvatures of the hypersurface on a convex cone. For α≤ 0

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