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Deformation of affine structures and the cohomology of Koszul-Vinberg algebras on the lie groups SO(2), H3(R) and Galilei group SGal(3)
Prosper R. Mama Assandje, R. Nimpa Pefoukeu, Michel B. Djiadeu Ngaha +2
In this work, we compare the De Rham cohomology and the Koszul-Vinberg cohomology groups on the Lie groups SO(2), H3(R) and SGal(3). We model their interactions by constructing a t…
Souriau-Fisher metric and Completely integrable system on Lie groups SO(2) and SO(3)
Prosper Rosaire Mama Assandje, Michel Bertrand Djiadeu Ngaha, Romain Nimpa Pefoukeu +1
We study the generalize Fisher metric on SO(2) and SO(3) via the thermodynamics Lie group theories of Souriau. Then we give the effect of 2-cocycle on the integrability of gradient…
The signature of the Ricci curvature of left-invariant Riemannian metrics on nilpotent Lie groups
M. B. Djiadeu Ngaha, M. Boucetta, J. Wouafo Kamga
Let be a nilpotent Lie group endowed with a left invariant Riemannian metric, its Euclidean Lie algebra and the center of . B…