NDLI: On the curvature conjecture of Hua Loo-keng

Content Provider	Springer Nature Link
Author	Lu, Qi Keng
Copyright Year	2012
Abstract	It is proved that both the holomorphic sectional and the bisectional curvatures of the conformal Bergman metric $$ds_1^2 = K^2 (z,\bar z)\frac{{\partial ^2 \log K(z,\bar z)}} {{\partial z^\alpha \partial \bar z^\beta }}dz^\alpha d\bar z^\beta$$ are always negative, where $$K(z,\bar z)$$ is the Bergman kernel of a bounded domain $$\mathcal{D}$$ in ℂ n . As a subsequent result, the Weyl tensor for a Hermitian manifold is obtained.
Ending Page	298
Page Count	4
Starting Page	295
File Format	PDF
ISSN	14398516
e-ISSN	14397617
Journal	Acta Mathematica Sinica, English Series
Issue Number	2
Volume Number	28
Language	English
Publisher	Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Publisher Date	2011-09-30
Publisher Place	Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Conformal metric Banach algebra techniques Mathematics Bergman spaces curvature
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics

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On the curvature conjecture of Hua Loo-keng