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- W2259359817 abstract "AbstractIn this paper we survey some recent contributions by the authors (Alarcón and Forstnerič, Math Ann 357:1049–1070, 2013; Invent Math 196:733–771, 2014; Math Ann, in press, http://link.springer.com/10.1007/s00208-015-1189-9. arXiv:1308.0903) to the theory of null holomorphic curves in the complex Euclidean space (mathbb{C}^{3}), as well as their applications to null holomorphic curves in the special linear group (SL_{2}(mathbb{C})), minimal surfaces in the Euclidean space (mathbb{R}^{3}), and constant mean curvature one surfaces (Bryant surfaces) in the hyperbolic space (mathbb{H}^{3}). The paper is an expanded version of the lecture given by the second named author at the Abel Symposium 2013 in Trondheim.KeywordsRiemann surfacesComplex curvesNull holomorphic curvesMinimal surfacesBryant surfacesComplete immersionsProper immersions" @default.
- W2259359817 created "2016-06-24" @default.
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- W2259359817 date "2015-01-01" @default.
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- W2259359817 title "Null Holomorphic Curves in $$mathbb{C}^{3}$$ and Applications to the Conformal Calabi-Yau Problem" @default.
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- W2259359817 doi "https://doi.org/10.1007/978-3-319-20337-9_5" @default.
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