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 Klher 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.
机构:
Capital Normal Univ, Sch Math Sci, Beijing 100037, Peoples R ChinaChinese Acad Sci, Inst Software, Technol Ctr Software Engn, Beijing 100080, Peoples R China
Yin, Weiping
Yin, Xiaolan
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机构:
Chinese Acad Sci, Inst Software, Technol Ctr Software Engn, Beijing 100080, Peoples R China
Chinese Acad Sci, Grad Univ, Beijing 100049, Peoples R ChinaChinese Acad Sci, Inst Software, Technol Ctr Software Engn, Beijing 100080, Peoples R China
机构:
Capital Normal Univ, Sch Math Sci, Beijing 100037, Peoples R ChinaChinese Acad Sci, Inst Software, Technol Ctr Software Engn, Beijing 100080, Peoples R China
Yin, Weiping
Yin, Xiaolan
论文数: 0引用数: 0
h-index: 0
机构:
Chinese Acad Sci, Inst Software, Technol Ctr Software Engn, Beijing 100080, Peoples R China
Chinese Acad Sci, Grad Univ, Beijing 100049, Peoples R ChinaChinese Acad Sci, Inst Software, Technol Ctr Software Engn, Beijing 100080, Peoples R China