Work

On the Third Gap for Proper Holomorphic Maps between Balls

Year: 2012

Type: preprint

Abstract: In this paper, we study the gap rigidity phenomenon for proper holomorphic maps between balls of different dimension. We show that any $F\in prop_3({\mathbb{B}}^n, {\mathbb{B}} ^N)$, with $3n

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1201.6440

Authors: Huang, Xiaojun, Ji, Shanyu, Yin, Wanke

Institutions: Rutgers, The State University of New Jersey, Wuhan University, University of Houston, Université de Rouen Normandie

Language: English

Topic: Holomorphic and Operator Theory

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Agence Nationale de la Recherche, National Natural Science Foundation of China, Foundation for the Author of National Excellent Doctoral Dissertation of the People's Republic of China

Awards: Approximation theorems in algebra and Cauchy-Riemann geometry: When Michael Artin meets Henri Poincaré, G2717724112, G3213625891, G5910975670

OpenAlex ID: W2950670866

Cites: 24

Cited by: 3

Related to: 10