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Estimates of the Kobayashi-Royden metric in almost complex manifolds

Hervé GaussierAlexandre Sukhov

2005Bulletin de la Société mathématique de FranceMathematics被引 35开放获取

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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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DOI:https://doi.org/10.24033/bsmf.2486

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