Convex domains and Kobayashi hyperbolicity-Reference-Cited by-同舟云学术

Convex domains and Kobayashi hyperbolicity

Published:1980 Issue:4 Volume:79 Page:556-558
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Barth Theodore J.

Abstract

A geometrically convex domain in C n {{\mathbf {C}}^n} is Kobayashi hyperbolic if and only if it contains no complex affine lines. This contrasts with an example of a nonhyperbolic pseudoconvex domain in C 2 {{\mathbf {C}}^2} containing no (nonconstant) entire holomorphic curves.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1980-079-04/S0002-9939-1980-0572300-3/S0002-9939-1980-0572300-3.pdf

Reference4 articles.

1. Compact manifolds and hyperbolicity;Brody, Robert;Trans. Amer. Math. Soc.,1978

2. Moving holomorphic disks off analytic subsets;Campbell, L. A.;Proc. Amer. Math. Soc.,1976

3. Holomorphic maps to complex tori;Green, Mark L.;Amer. J. Math.,1978

4. Pure and Applied Mathematics;Kobayashi, Shoshichi,1970

Cited by 26 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Boundary Regularity of Isometries Between Infinitely Flat Complex Domains;Acta Mathematica Sinica, English Series;2024-05-09

2. Bi-Hölder Extensions of Quasi-isometries on Pseudoconvex Domains of Finite Type in $${\mathbb {C}}^2$$;The Journal of Geometric Analysis;2023-02-28

3. Oka Domains in Euclidean Spaces;International Mathematics Research Notices;2023-02-18

4. Subelliptic estimates from Gromov hyperbolicity;Advances in Mathematics;2022-06

5. Bi-Hölder Extensions of Quasi-isometries on Complex Domains;The Journal of Geometric Analysis;2022-01-04