Riemann maps in almost complex manifolds
B Coupet, H Gaussier, A Sukhov
Abstract
We prove the existence of stationary discs in the ball for small almost complex deformations of the standard structure. We define a local analogue of the Riemann map and establish its main properties. These constructions are applied to study the local geometry of almost complex manifolds and their morphisms.
Create a lesson
Related papers
Sharp Robertson-type coefficient estimates for radial starlike and quasi-convex of type B mappings of order α in complex Banach spaces
Sujoy Majumder, Abhijit Banerjee, Goutam Haldar
Biholomorphic rigidity and symmetry breaking for domains with Bergman metric of constant positive holomorphic sectional curvature
Gordon Heier, Ravi Mudaliar, Haotian Zuo
Chern classes of Levi non-degenerate CR manifolds
Yuya Takeuchi
A Counterexample to the Holomorphic Cancellation Problem
Gaofeng Huang
Atiyah classes and ellipticity of Oka manifolds
Yuta Kusakabe, Shin-ichi Matsumura
Quasiconformal deformations of chordal Loewner chains
Yong Han, Renxin Jiang