Some remarks on the Kobayashi–Fuks metric on strongly pseudoconvex domains

dc.contributor.author	BORAH, DIGANTA	en_US
dc.contributor.author	KAR, DEBAPRASANNA	en_US
dc.date.accessioned	2022-06-24T10:26:15Z
dc.date.available	2022-06-24T10:26:15Z
dc.date.issued	2022-08	en_US
dc.identifier.citation	Journal of Mathematical Analysis and Applications, 512(2), 126162.	en_US
dc.identifier.issn	0022-247X	en_US
dc.identifier.issn	1096-0813	en_US
dc.identifier.uri	https://doi.org/10.1016/j.jmaa.2022.126162	en_US
dc.identifier.uri	http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/7155
dc.description.abstract	The Ricci curvature of the Bergman metric on a bounded domain is strictly bounded above by and consequently , where is the Bergman kernel for D on the diagonal and is the Riemannian volume element of the Bergman metric on D, is the potential for a Kähler metric on D known as the Kobayashi–Fuks metric. In this note we study the localization of this metric near holomorphic peak points and also show that this metric shares several properties with the Bergman metric on strongly pseudoconvex domains.	en_US
dc.language.iso	en	en_US
dc.publisher	Elsevier B.V.	en_US
dc.subject	Kobayashi–Fuks metric	en_US
dc.subject	Bergman kernel	en_US
dc.subject	2022-JUN-WEEK5	en_US
dc.subject	TOC-JUN-2022	en_US
dc.subject	2022	en_US
dc.title	Some remarks on the Kobayashi–Fuks metric on strongly pseudoconvex domains	en_US
dc.type	Article	en_US
dc.contributor.department	Dept. of Mathematics	en_US
dc.identifier.sourcetitle	Journal of Mathematical Analysis and Applications	en_US
dc.publication.originofpublisher	Foreign	en_US