CERTAIN EINSTEIN METRICS ON WEIL BUNDLES
Let M be a paracompact smooth manifold, be a Weil algebra and be the associated Weil bundle. In this paper, we revisited the new properties of prolongation of linear connections on Weil bundles and we give a necessary and sufficient condition for an Einstein metric on a symplectic -manifold to be -compatible.
Weil bundle, Weil algebra, symplectic manifold, Ricci curvature.
Received: December 28, 2020; Accepted: January 11, 2021; Published: June 9, 2021
How to cite this article: Servais Cyr Gatsé, Certain Einstein metrics on weil bundles, JP Journal of Geometry and Topology 26(1) (2021), 53-73. DOI: 10.17654/GT026010053
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