The Kobayashi pseudodistance on almost complex manifolds

Abstract

We extend the definition of the Kobayashi pseudodistance to almost complex manifolds and show that its familliar properties are for the most part preserved. We also study the automorphism group of an almost complex manifold and finish with some examples.

19 pages, Latex

References in corpus (1)

• Nijenhuis tensors and obstructions for pseudoholomorphic mapping constructions

Cited by in corpus (7)

• Nijenhuis tensors in pseudoholomorphic curves neighborhoods
• Dual curves and pseudoholomorphic curves
• On the Kobayashi-Royden pseudonorm for almost complex manifolds
• Existence of close pseudoholomorphic disks for almost complex manifolds and an applications to Kobayashi-Royden pseudonorm
• Homogeneous almost complex structures in dimension 6 with semi-simple isotropy
• Deformation of big pseudoholomorphic disks and application to the Hanh pseudonorm
• Complete hyperbolic neighborhoods in almost-complex surfaces