38 citations · 100 across the 45 of their papers we have counts for
45 papers
Geometry of tangent bundles of statistical manifolds equiped with Cheeger-Gromoll type metrics
Esmaeil Peyghan, Leila Nourmohammadifar, Ion Mihai
In this paper, we investigate the geometry of the tangent bundle of a statistical manifold endowed with a two-parameter family of generalized Cheeger--Gromoll m…
Formal deformations and extensions of `twisted' Lie algebras
I. Basdouri, E. Peyghan, M. A. Sadraoui +1
The interplay between derivations and algebraic structures has been a subject of significant interest and exploration. Inspired by Yau's twist and the Leibniz rule, we investigate…
Statistical conformal Killing Vector Fields for FLRW Space-Time
Esmaeil Peyghan, Leila Nourmohammadifar, Damianos Iosifidis
The classification of conformal Killing vector fields for FLRW space-time from Riemannian point of view was done by Maartens-Maharaj in \cite{Maartens1986}. In this paper, we intro…
Twisted Lie algebras by invertible derivations
Imed Basdouri, Esmael Peyghan, Mohamed Amin Sadraoui
In this paper, we introduce an algebra structure denoted by InvDer algebra whose which we twist an algebra thanks to an invertible derivation, where its inverse is also a derivatio…
On the geometry of lift metrics and lift connections on the tangent bundle
Esmaeil Peyghan, Davood Seifipour, Adara M. Blaga
We study lift metrics and lift connections on the tangent bundle of a Riemannian manifold . We also investigate the statistical and Codazzi couples of and their co…
Finding Geodesics on Surfaces Using Taylor Expansion of Exponential Map
Esmaeil Peyghan, Esa Sharahi, Amir Baghban
Our aim in this paper is to construct a numerical algorithm using Taylor expansion of exponential map to find geodesic joining two points on a 2-dimensional surface for which a Rie…