Isometric embedding with nonnegative Gauss curvature under the graph setting
classification
🧮 math.AP
keywords
embeddinggraphisometricunderassumptionballcurvaturecurved
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We study the regularity of the isometric embedding X: (B(O,r),g) -> (R3, gcan) of a 2-ball with nonnegatively curved C4 metric into R3. Under the assumption that X can be expressed in the graph form, we show X is C2,1 near P, which is optimal by Iaia's example.
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