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math.DG2024
Translating surfaces under flows by sub-affine-critical powers of Gauss curvature
Beomjun Choi, Kyeongsu Choi, Soojung Kim
We classify the surfaces translating under the flows by sub-affine-critical powers of the Gauss curvature. This, in particular, lists all translating solitons possibly model Type I…
math.DG2024
Continuous family of surfaces translating by powers of Gauss curvature
Beomjun Choi, Kyeongsu Choi, Soojung Kim
This paper shows the existence of convex translating surfaces under the flow by the -th power of Gauss curvature for the sub-affine-critical regime . The key aspe…