Deformation of big pseudoholomorphic disks and application to the Hanh pseudonorm

Details Deformation of big pseudoholomorphic disks and application to the Hanh pseudonorm Deformation of big pseudoholomorphic disks and application to the Hanh pseudonorm

2003-04-14

arxiv.org/abs/math/0304166v1

Mathematics

Complex Variables

5 pages

Scientific paper

We simplify proof of the theorem that close to any pseudoholomorphic disk
there passes a pseudoholomorphic disk of arbitrary close size with any
pre-described sufficiently close direction. We apply these results to the
Kobayashi and Hanh pseudodistances. It is shown they coincide in dimensions
higher than four. The result is new even in the complex case.

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