On J-holomorphic variational vector fields and extremal discs

Uroš Kuzman

On J-holomorphic variational vector fields and extremal discs

Complex Variables 2020-12-02 v2

Authors: Uroš Kuzman

Abstract

We prove that every $J$ -holomorphic variational vector field can be realized as derivation $\frac{d}{dt}_{|t=0}f_t$ where $(f_t)$ is a one parametric family of $J$ -holomorphic discs. Furthermore, we discuss properness of an extremal $J$ -holomorphic disc in a bounded pseudoconvex domain.

Keywords

vector fields holomorphic mappings

Cite

@article{arxiv.2005.04086,
  title  = {On J-holomorphic variational vector fields and extremal discs},
  author = {Uroš Kuzman},
  journal= {arXiv preprint arXiv:2005.04086},
  year   = {2020}
}

Comments

9 pages, typos and Lemma 6 corrected

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