Pseudoholomorphic mappings and Kobayashi hyperbolicity

详细信息    查看全文

• 作者：Kruglikov ; Boris S. ; Overholt ; Marius
• 关键词：Almost complex structure ; Kobayashi distance ; 32H15 ; 53C15 ; 53C56
• 刊名：Differential Geometry and its Applications
• 出版年：1999
• 出版时间：November 30, 1999
• 年：1999
• 卷：11
• 期：3
• 页码：265-277
• 全文大小：101 K

文摘

We extend the definition of the Kobayashi pseudodistance to almost complex manifolds and show that its familiar properties are for the most part preserved. We also study the automorphism group of an almost complex manifold. We give special consideration to almost complex structures tamed by some symplectic form. The notions and pseudoholomorphic curves involved are illustrated in some examples.