Relative connections on principal bundles and relative equivariant structures

Poddar, Mainak; Singh, Anoop

dc.contributor.author	Poddar, Mainak
dc.contributor.author	Singh, Anoop
dc.date.accessioned	2024-04-09T10:43:40Z
dc.date.available	2024-04-09T10:43:40Z
dc.date.issued	2023-06-28
dc.identifier.issn	09262245
dc.identifier.uri	http://localhost:8080/xmlui/handle/123456789/3119
dc.description	This paper published with affiliation IIT (BHU), Varanasi in open access mode.	en_US
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.description.sponsorship	Science and Engineering Research Board- MTR/2019/001613	en_US
dc.language.iso	en	en_US
dc.publisher	Elsevier B.V.	en_US
dc.relation.ispartofseries	Differential Geometry and its Application;90
dc.subject	Atiyah-Weil criterion;	en_US
dc.subject	Equivariant structure;	en_US
dc.subject	Kähler manifold;	en_US
dc.subject	Principal bundle;	en_US
dc.subject	Relative holomorphic connection	en_US
dc.title	Relative connections on principal bundles and relative equivariant structures	en_US
dc.type	Article	en_US