NDLI: The equivalence on classical metrics

Content Provider	Springer Nature Link
Author	Yin, Wei ping Wang, An
Copyright Year	2007
Abstract	In this paper we study the complete invariant metrics on Cartan-Hartogs domains which are the special types of Hua domains. Firstly, we introduce a class of new complete invariant metrics on these domains, and prove that these metrics are equivalent to the Bergman metric. Secondly, the Ricci curvatures under these new metrics are bounded from above and below by the negative constants. Thirdly, we estimate the holomorphic sectional curvatures of the new metrics, and prove that the holomorphic sectional curvatures are bounded from above and below by the negative constants. Finally, by using these new metrics and Yau’s Schwarz lemma we prove that the new metrics are equivalent to the Einstein-Kähler metric. That means that the Yau’s conjecture is true on Cartan-Hartogs domains.
Starting Page	183
Ending Page	200
Page Count	18
File Format	PDF
ISSN	10069283
Journal	Science in China Series A: Mathematics
Volume Number	50
Issue Number	2
e-ISSN	18622763
Language	English
Publisher	Science in China Press
Publisher Date	2007-01-01
Publisher Place	Beijing
Access Restriction	Subscribed
Subject Keyword	Bergman metric Einstein-Kähler metric Cartan-Hartogs domain equivalence on classical metrics Applications of Mathematics
Content Type	Text
Resource Type	Article
Subject	Mathematics

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The equivalence on classical metrics