Local characterizations of complex curves in C2 and sphere Schwarz maps

DOI10.1142/S0129167X16500671zbMath1345.53061MaRDI QIDQ2816977

Naoya Ando

Publication date: 26 August 2016

Published in: International Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

complex curveholomorphic cubic differentialaffine Schwarz mapsphere Schwarz map

Mathematics Subject Classification ID

Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Local submanifolds (53B25) Overdetermined systems of PDEs with variable coefficients (35N10)

Related Items (2)

Surfaces with zero mean curvature vector in neutral 4-manifolds ⋮ The lifts of surfaces in neutral 4-manifolds into the 2-Grassmann bundles

Cites Work

• Unnamed Item
• Stable minimal surfaces in Euclidean space
• Minimal immersions of surfaces in Euclidean spheres
• DERIVED SCHWARZ MAP OF THE HYPERGEOMETRIC DIFFERENTIAL EQUATION AND A PARALLEL FAMILY OF FLAT FRONTS
• Affine Schwarz Map for the Hypergeometric Differential Equation
• Schwarz maps for the hypergeometric differential equation

This page was built for publication: Local characterizations of complex curves in C2 and sphere Schwarz maps