Relative connections on principal bundles and relative equivariant structures

dc.contributor.author	PODDAR, MAINAK	en_US
dc.contributor.author	Singh, Anoop	en_US
dc.date.accessioned	2023-07-31T10:46:33Z
dc.date.available	2023-07-31T10:46:33Z
dc.date.issued	2023-10	en_US
dc.identifier.citation	Differential Geometry and its Applications, 90, 102041.	en_US
dc.identifier.issn	0926-2245	en_US
dc.identifier.issn	1872-6984	en_US
dc.identifier.uri	https://doi.org/10.1016/j.difgeo.2023.102041	en_US
dc.identifier.uri	http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/8102
dc.description.abstract	We investigate relative holomorphic connections on a principal bundle over a family of compact complex manifolds. A sufficient condition is given for the existence of a relative holomorphic connection on a holomorphic principal bundle over a complex analytic family. We also introduce the notion of relative equivariant bundles and establish its relation with relative holomorphic connections on principal bundles.	en_US
dc.language.iso	en	en_US
dc.publisher	Elsevier B.V.	en_US
dc.subject	Relative holomorphic connection	en_US
dc.subject	Principal bundle	en_US
dc.subject	Equivariant structure	en_US
dc.subject	Kähler manifold	en_US
dc.subject	Atiyah-Weil criterion	en_US
dc.subject	2023-JUL-WEEK4	en_US
dc.subject	TOC-JUL-2023	en_US
dc.subject	2023	en_US
dc.title	Relative connections on principal bundles and relative equivariant structures	en_US
dc.type	Article	en_US
dc.contributor.department	Dept. of Mathematics	en_US
dc.identifier.sourcetitle	Differential Geometry and its Applications	en_US
dc.publication.originofpublisher	Foreign	en_US