<正> The purpose of this paper is to survey the new advances in the research on the metric geometry of infinne-dimenstonal Tetchmuller spaces in recent years. It contains the following problems and their solutions: the non-umqueness of geodesic segments; the relation between the uniqueness of segments and the uniqueness of extremal Bel-trarni differentials; non-convexity of spheres and non-differentiability of the Teichmuller metric; isometrically embed-ded polydisks; Busernann points and Strebel points, and...
【英文摘要】
The purpose of this paper is to survey the new advances in the research on the metric geometry of infinne-dimenstonal Tetchmuller spaces in recent years. It contains the following problems and their solutions: the non-umqueness of geodesic segments; the relation between the uniqueness of segments and the uniqueness of extremal Bel-trarni differentials; non-convexity of spheres and non-differentiability of the Teichmuller metric; isometrically embed-ded polydisks; Busernann points and Strebel points, and the...
【基金】
Project supported in part by the National Natural Science Foundation of China (Grant No. 19136006) and the Doctoral Ld(?)tion Program Foundation of the State Education Commission of China.
【分类号】
O182
【正文快照】
l’}飞i、x)aloer,、an expanded version of the one presented at the 3rd International Conferenee on不、〕1
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