发表机构
Netaji Subhas University of Technology（南塔吉·苏巴斯技术大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文研究具有至少三个元素的有限泛集的二维Lempert流形，证明其Kobayashi距离等距映射为全纯或反全纯，且无需正则性假设即为局部C^{1,1}类。
AI 中文摘要
我们证明：具有有限泛集（至少含三个元素）的二维Lempert流形之间的任意Kobayashi距离等距映射均为全纯或反全纯；且该类等距映射无需正则性假设即可为局部C^{1,1}类。
英文摘要
We prove that every Kobayashi distance isometry between $2$-dimensional Lempert manifolds having finite universal set (with atleast three elements) is holomorphic or anti-holomorphic. It is shown that every such isometry is $C_{loc}^{1,1}$ without any regularity assumption on the isometry.
Commentscomments are welcome!
