Estimates of the Kobayashi-Royden metric in almost complex manifolds
摘要
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).
引用本文(GB/T 7714)
Hervé Gaussier, Alexandre Sukhov. Estimates of the Kobayashi-Royden metric in almost complex manifolds[J]. Bulletin de la Société mathématique de France, 2005.
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