Estimates of the Kobayashi-Royden metric in almost complex manifolds

Hervé Gaussier; Alexandre Sukhov

Bulletin de la Société Mathématique de France (2005)

  • Volume: 133, Issue: 2, page 259-273
  • ISSN: 0037-9484

Abstract

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We establish a lower estimate for the Kobayashi-Royden infinitesimal pseudometric on an almost complex manifold ( M , J ) admitting a bounded strictly plurisubharmonic function. We apply this result to study the boundary behaviour of the metric on a strictly pseudoconvex domain in M and to give a sufficient condition for the complete hyperbolicity of a domain in ( M , J ) .

How to cite

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Gaussier, Hervé, and Sukhov, Alexandre. "Estimates of the Kobayashi-Royden metric in almost complex manifolds." Bulletin de la Société Mathématique de France 133.2 (2005): 259-273. <http://eudml.org/doc/272419>.

@article{Gaussier2005,
abstract = {We establish a lower estimate for the Kobayashi-Royden infinitesimal pseudometric on an almost complex manifold $(M,J)$ admitting a bounded strictly plurisubharmonic function. We apply this result to study the boundary behaviour of the metric on a strictly pseudoconvex domain in $M$ and to give a sufficient condition for the complete hyperbolicity of a domain in $(M,J)$.},
author = {Gaussier, Hervé, Sukhov, Alexandre},
journal = {Bulletin de la Société Mathématique de France},
keywords = {almost complex manifolds; Kobayashi-Royden metric; $J$-holomorphic discs},
language = {eng},
number = {2},
pages = {259-273},
publisher = {Société mathématique de France},
title = {Estimates of the Kobayashi-Royden metric in almost complex manifolds},
url = {http://eudml.org/doc/272419},
volume = {133},
year = {2005},
}

TY - JOUR
AU - Gaussier, Hervé
AU - Sukhov, Alexandre
TI - Estimates of the Kobayashi-Royden metric in almost complex manifolds
JO - Bulletin de la Société Mathématique de France
PY - 2005
PB - Société mathématique de France
VL - 133
IS - 2
SP - 259
EP - 273
AB - We establish a lower estimate for the Kobayashi-Royden infinitesimal pseudometric on an almost complex manifold $(M,J)$ admitting a bounded strictly plurisubharmonic function. We apply this result to study the boundary behaviour of the metric on a strictly pseudoconvex domain in $M$ and to give a sufficient condition for the complete hyperbolicity of a domain in $(M,J)$.
LA - eng
KW - almost complex manifolds; Kobayashi-Royden metric; $J$-holomorphic discs
UR - http://eudml.org/doc/272419
ER -

References

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