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Regularity of Kobayashi metric. (arXiv:1710.09885v1 [math.CV])
来源于:arXiv
We review some recent results on existence and regularity of Monge-Amp\`ere
exhaustions on the smoothly bounded strongly pseudoconvex domains, which admit
at least one such exhaustion of sufficiently high regularity. A main
consequence of our results is the fact that the Kobayashi pseudo-metric k on
each of the above domains is actually a smooth Finsler metric. The class of
domains to which our result apply is very large. It includes for instance all
smoothly bounded strongly pseudoconvex complete circular domains and all their
sufficiently small deformations. 查看全文>>