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.

中文翻译：

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关于J-全纯变分向量场和极值圆盘

我们证明每个J-亚纯变分向量场都可以实现为派生\（\ frac {d} {dt} _ {| t = 0} f_t \）其中\（（f_t）\）是J的一个参数族全同形光盘。此外，我们讨论了有界伪凸域中极值J-全同型圆盘的适用性。