Invariant holomorphic discs in some non-convex domains

2017/04/10 by Florian Bertrand, Hervé Gaussier, Bertrand, Florian +1
Mathematics · #32F45 #32Q45 #Analytic and geometric function theory #Complex Variables (math.CV) #FOS: Mathematics #Geometry and complex manifolds #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.1704.02835

openalex publication_date 2017/04/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give a description of complex geodesics and we study the structure of stationary discs in some non-convex domains for which complex geodesics are not unique.

Related

• Isometric disks are holomorphic
• Isometric disks are holomorphic
• Complex geodesics in convex domains and \mathbb C-convexity of semitube domains
• Totally geodesic discs in strongly convex domains
• Stationary disks and Green functions in almost complex domains