Compactness of Alexandrov-Nirenberg Surfaces
classification
🧮 math.DG
math.AP
keywords
compactnesssurfacesalexandrovalexandrov-nirenbergassumptionsclasscompactcurvatures
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We study a class of compact surfaces in $\mathbb R^3$ introduced by Alexandrov and generalized by Nirenberg and prove a compactness result under suitable assumptions on induced metrics and Gauss curvatures.
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