Estimates of the Kobayashi metric on almost complex manifolds
Gaussier, Hervé ; Sukhov, Alexandre
HAL, hal-00000525 / Harvested from HAL
Text on HAL
We establish a lower estimate for the Kobayashi-Royden infinitesimalpseudometric on an almost complex manifold $(M,J)$ admitting a boundedstrictly plurisubharmonic function. We apply this result to study theboundary behaviour of the metric on a strictly pseudoconvex domain in$M$ and to give a sufficient condition for the complete hyperbolicityof a domain in $(M,J)$. Finally we obtain the regularity up to thebounday of $J$-holomorphic discs attached to a totally realsubmanifold in $M$.
Publié le : 2004-02-26
Classification:  32H02, 32H40, 32T15, 53C15,  [MATH.MATH-CV]Mathematics [math]/Complex Variables [math.CV],  [MATH.MATH-DG]Mathematics [math]/Differential Geometry [math.DG] 
@article{hal-00000525,
     author = {Gaussier, Herv\'e and Sukhov, Alexandre},
     title = {Estimates of the Kobayashi metric on almost complex manifolds},
     journal = {HAL},
     volume = {2004},
     number = {0},
     year = {2004},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00000525}
}

Gaussier, Hervé; Sukhov, Alexandre. Estimates of the Kobayashi metric on almost complex manifolds. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00000525/