Hodge decomposition theorem on compact d-Kähler manifolds

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dc.contributor.author Amrutiya, Sanjay
dc.contributor.author Jaiswal, Ayush
dc.coverage.spatial United States of America
dc.date.accessioned 2024-06-27T12:49:36Z
dc.date.available 2024-06-27T12:49:36Z
dc.date.issued 2024-06
dc.identifier.citation Amrutiya, Sanjay and Jaiswal, Ayush, "Hodge decomposition theorem on compact d-Kähler manifolds", arXiv, Cornell University Library, DOI: arXiv:2406.09312, Jun. 2024.
dc.identifier.uri http://arxiv.org/abs/2406.09312
dc.identifier.uri https://repository.iitgn.ac.in/handle/123456789/10176
dc.description.abstract In this article, we will explore the fundamental concepts, including various basic concepts on d-complex manifolds, along with several differential operators and examine the relationships between them. A d-Kähler manifold is a d-complex manifold equipped with a metric that satisfies a specific condition. We prove the Hodge decomposition theorem on compact d-Kähler manifolds, which establishes a crucial relationship between certain de-Rham cohomology groups and Dolbeault cohomology groups on a compact d-Kähler manifold
dc.description.statementofresponsibility by Sanjay Amrutiya and Ayush Jaiswal
dc.language.iso en_US
dc.publisher Cornell University Library
dc.title Hodge decomposition theorem on compact d-Kähler manifolds
dc.type Article
dc.relation.journal arXiv


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