Calabi-Yau Problem for Legendrian curves in C³ and applications
classification
🧮 math.DG
keywords
boundedcompletefrontweaklyapplicationsflatlegendrianspace
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We construct a complete, bounded Legendrian immersion in C^3. As direct applications of it, we show the first examples of a weakly complete bounded flat front in hyperbolic 3-space, a weakly complete bounded flat front in de Sitter 3-space, and a weakly complete bounded improper affine front in R^3.
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