The comparison theorem for Bergman and Kobayashi metrics on Cartan-Hartogs domain of the second type

作     者：ZHAO Xiaoxia 1, DING Li 2 and YIN Weiping 3*(1. Department of Computer Science, Beijing Language and Culture University, Beijing 100083 2. Fundamental Department, Beijing Technology and Business University, Beijing 100037 3. Department of Mathematics, Capital Normal University, Beijing 100037, China ) 

出 版 物：《Progress in Natural Science:Materials International》 (自然科学进展·国际材料(英文))

年 卷 期：2004年第2期

页      面：9-16页

学科分类：08[工学] 081202[工学-计算机软件与理论] 0812[工学-计算机科学与技术（可授工学、理学学位）] 

基　　金：SupportedinpartbytheNationalNatureScienceFoundationofChina (GrantNo .10 1710 68)andNaturalScienceFoundationofBeijing (GrantNo .10 12 0 0 4) 

主　　题：Bergman metric Kobayashi metric Klher metric. 

摘      要：In this paper, the holomorphic sectional curvature under invariant metric on a Cartan-Hartogs domain of the second type Y II (N,p,K) is presented and an invariant Klher metric which is complete and not less than the Bergman metric is constructed, such that its holomorphic sectional curvature is bounded above by a negative constant. Hence a comparison theorem for the Bergman and Kobayashi metrics on Y II (N,p,K) is obtained.