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- W2103239318 abstract "We study graphs of positive extrinsic curvature with a non-removable isolated singularity in 3-dimensional warped product spaces, and describe their behavior at the singularity in several natural situations. We use Monge-Amp`ere equations to give a classification of the surfaces in 3-dimensional space forms which are embedded around a non-removable isolated singularity and have a prescribed, real analytic, positive extrinsic curvature function at every point. Specifically, we prove that this space is in one-to-one correspondence with the space of regular, analytic, strictly convex Jordan curves in the 2-dimensional sphere $mathbb{S^2}$." @default.
- W2103239318 created "2016-06-24" @default.
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- W2103239318 date "2014-11-11" @default.
- W2103239318 modified "2023-09-27" @default.
- W2103239318 title "Isolated singularities of graphs in warped products and Monge-Amp`ere equations" @default.
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