Dualistic Structures on Twisted Product Manifolds
Differential Geometry
2024-10-10 v1
Abstract
In this paper, we show that the projection of a dualistic structure defined on a twisted product manifold induces dualistic structures on the base and the fiber manifolds, and conversely. Then under some conditions on the Ricci curvature and the Weyl conformal tensor we characterize dually flat structures on twisted product manifolds.
Keywords
Cite
@article{arxiv.1408.3450,
title = {Dualistic Structures on Twisted Product Manifolds},
author = {Abdoul Salam Diallo and Leonard Todjihounde},
journal= {arXiv preprint arXiv:1408.3450},
year = {2024}
}
Comments
12 pages