Results 1 to 10 of about 15,066 (137)
Fubini-Study metrics and Levi-Civita connections on quantum projective spaces [PDF]
Advances in Mathematics, 2021 We introduce analogues of the Fubini-Study metrics and the corresponding Levi-Civita connections on quantum projective spaces. We define the quantum metrics as two-tensors, symmetric in the appropriate sense, in terms of the differential calculi introduced by Heckenberger and Kolb.
Marco Matassa
+7 more sources
Levi-Civita metrics that admit a projective vector field [PDF]
Journal de Mathématiques Pures et Appliquées, 2021 Projective vector fields are the infinitesimal transformations whose local flow preserves geodesics up to reparametrisation. In 1882 Sophus Lie posed the problem of describing 2-dimensional metrics admitting a non-trivial projective vector field, which was solved in recent years. In the present paper, we solve the analog of Lie's problem in dimension 3,
Gianni Manno, Andreas Vollmer
+6 more sources
Levi-Civita connections for conformally deformed metrics on tame differential calculi [PDF]
International Journal of Mathematics, 2021 Given a tame differential calculus over a noncommutative algebra [Formula: see text] and an [Formula: see text]-bilinear metric [Formula: see text] consider the conformal deformation [Formula: see text] [Formula: see text] being an invertible element of [Formula: see text] We prove that there exists a unique connection [Formula: see text] on the ...
Jyotishman Bhowmick +2 more
+7 more sources
On Possible Minimal Length Deformation of Metric Tensor, Levi-Civita Connection, and the Riemann Curvature Tensor [PDF]
Physics, 2023 The minimal length conjecture is merged with a generalized quantum uncertainty formula, where we identify the minimal uncertainty in a particle’s position as the minimal measurable length scale. Thus, we obtain a quantum-induced deformation parameter that directly depends on the chosen minimal length scale.
Fady T. Farouk +3 more
openalex +3 more sources
Accelerated Levi-Civita-Bertotti-Robinson metric in D dimensions [PDF]
General Relativity and Gravitation, 2006 Latex File, 12 ...
Metin Gürses, Özgür Sarıoğlu
openalex +8 more sources
Metrized Quantum Vector Bundles over Quantum Tori Built from Riemannian Metrics and Rosenberg's Levi-Civita Connections [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2018 We build metrized quantum vector bundles, over a generically transcendental quantum torus, from Riemannian metrics, using Rosenberg's Levi-Civita connections for these metrics. We also prove that two metrized quantum vector bundles, corresponding to positive scalar multiples of a Riemannian metric, have distance zero between them with respect to the ...
Leonard Huang
openalex +5 more sources
Effective Levi-Civita dilaton theory from Metric Affine Dilaton gravity [PDF]
Physics Letters A, 1999 We show how a Metric Affine theory of Dilaton gravity can be reduced to an effective Riemannian Dilaton gravity model. A simple generalization of the Obukhov-Tucker-Wang theorem to Dilaton gravity is then presented.
R. Scipioni
openalex +4 more sources
Energy-momentum distribution of the Weyl-Lewis-Papapetrou and the Levi-Civita metrics [PDF]
Brazilian Journal of Physics, 2007 This paper is devoted to compute the energy-momentum densities for two exact solutions of the Einstein field equations by using the prescriptions of Einstein, Landau-Lifshitz, Papapetrou and M ller. The spacetimes under consideration are the Weyl-Lewis-Papapetrou and the Levi-Civita metrics.
M. Sharif
openalex +6 more sources
Minimal Complex Surfaces with Levi–Civita Ricci-flat Metrics [PDF]
Acta Mathematica Sinica, English Series, 2018 This is a continuation of our previous paper [14]. In [14], we introduced the first Aeppli-Chern class on compact complex manifolds, and proved that the $(1,1)$ curvature form of the Levi-Civita connection represents the first Aeppli-Chern class which is a natural link between Riemannian geometry and complex geometry.
Ke Feng Liu, Xiao Kui Yang
openalex +3 more sources
Levi-Civita Ricci-flat metrics on compact complex manifolds [PDF]
The Journal of Geometric Analysis, 2019 In this paper, we study the geometry of compact complex manifolds with Levi-Civita Ricci-flat metrics and prove that compact complex surfaces admitting Levi-Civita Ricci-flat metrics are Kahler Calabi-Yau surfaces or Hopf surfaces.
Jie He, Kefeng Liu, Xiaokui Yang
openalex +4 more sources