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pro vyhledávání: '"Villaseñor, Fidel F."'
Autor:
Villaseñor, Fidel F.
The Ricci version of the Schur theorem is shown to hold for a wide class of Finsler metrics. What is more, let $F$ be any (positive definite) Finsler metric such that $\text{Ric} =\rho F^2$ with $\rho\colon M^n\rightarrow\mathbb{R}$ (i.e., $(M^n,F)$
Externí odkaz:
http://arxiv.org/abs/2304.08933
Publikováno v:
Universe 2022, 8(2), 93. Special issue "Beyond Riemannian geometry in classical and quantum gravity"
We revisit the physical arguments which lead to the definition of the stress-energy tensor $T$ in the Lorentz-Finsler setting $(M,L)$ starting at classical Relativity. Both the standard heuristic approach using fluids and the Lagrangian one are taken
Externí odkaz:
http://arxiv.org/abs/2202.10801
Publikováno v:
Advances in Theoretical and Mathematical Physics, Volume 26, Number 10, 3563-3631, 2022
A systematic development of the so-called Palatini formalism is carried out for pseudo-Finsler metrics $L$ of any signature. Substituting in the classical Einstein-Hilbert-Palatini functional the scalar curvature by the Finslerian Ricci scalar constr
Externí odkaz:
http://arxiv.org/abs/2108.03197
Publikováno v:
A.L. Albujer et al. (eds.), Developments in Lorentzian Geometry, Springer Proceedings in Mathematics & Statistics 389, Springer Nature Switzerland AG, 2022
The general notion of anisotropic connections $\nabla$ is revisited, including its precise relations with the standard setting of pseudo-Finsler metrics, i.e., the canonic nonlinear connection and the (linear) Finslerian connections. In particular, t
Externí odkaz:
http://arxiv.org/abs/2107.05986
This proceedings volume gathers selected, revised papers presented at the X International Meeting on Lorentzian Geometry (GeLoCor 2021), virtually held at the University of Córdoba, Spain, on February 1-5, 2021. It includes surveys describing the st