An application of dual convex bodies to the inverse Gauss curvature flow
classification
🧮 math.DG
keywords
curvaturegaussbodiesconvexdegreesdualflowshomogeneity
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By means of dual convex bodies, we obtain regularity of solutions to the expanding Gauss curvature flows with homogeneity degrees $-p$, $0<p<1$. At the end, we remark that our method can also be used to obtain regularity of solutions to the shrinking Gauss curvature flows with homogeneity degrees less than one.
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