Darboux Charts Around Holomorphic Legendrian Curves and Applications

DOI10.1093/imrn/rnx158zbMath1429.53088arXiv1702.00704OpenAlexW2587057775MaRDI QIDQ5243309

Franc Forstnerič, Antonio Alarcón

Publication date: 18 November 2019

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.00704

zbMATH Keywords

complex contact manifoldholomorphic Legendrian curvecontact neighborhood theoremisotropic Stein submanifolds

Mathematics Subject Classification ID

Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) Contact manifolds (general theory) (53D10) Holomorphic, polynomial and rational approximation, and interpolation in several complex variables; Runge pairs (32E30) Contact systems (37J55)

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Holomorphic Legendrian curves in projectivised cotangent bundles ⋮ Minimal surfaces in Euclidean spaces by way of complex analysis ⋮ The Calabi-Yau problem for minimal surfaces with Cantor ends ⋮ Recent developments on Oka manifolds ⋮ Proper superminimal surfaces of given conformal types in the hyperbolic four-space ⋮ NEW COMPLEX ANALYTIC METHODS IN THE THEORY OF MINIMAL SURFACES: A SURVEY ⋮ Holomorphic Approximation: The Legacy of Weierstrass, Runge, Oka–Weil, and Mergelyan ⋮ The Calabi-Yau property of superminimal surfaces in self-dual Einstein four-manifolds ⋮ Holomorphic Legendrian curves in \(\mathbb{CP}^3\) and superminimal surfaces in \(\mathbb{S}^4\) ⋮ Holomorphic distributions and connectivity by integral curves of distributions

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