Results 1 to 10 of about 531 (177)

Levi-Civita connections for a class of spectral triples [PDF]

Letters in Mathematical Physics, 2019
minor changes. To appear in Letters in Mathematical Physics.
Jyotishman Bhowmick, Goswami Debashish, Bhowmick Jyotishman   +2 more
exaly   +4 more sources

Levi-Civita Connection

Compact Textbooks in Mathematics
AbstractThe Levi-Civita connection of a surface $$f\colon M \to \mathbb {R}^3$$ f : M → ℝ 3 ...
Pinkall Ulrich, Ulrich Pinkall, Gross Oliver   +2 more
exaly   +3 more sources

Scalar curvature of a Levi-Civita connection on the Cuntz algebra with three generators [PDF]

Letters in Mathematical Physics, 2019
14 ...
Soumalya Joardar
exaly   +4 more sources

A Dually Flat Embedding of Spacetime [PDF]

Entropy, 2023
A model of spacetime is presented. It has an extension to five dimensions, and in five dimensions the geometry is the dual of the Euclidean geometry w.r.t. an arbitrary positive-definite metric.
Jan Naudts
doaj   +2 more sources

Comparison of Levi-Civita connections in noncommutative geometry

Journal of Geometry and Physics
28 ...
Adam Rennie
exaly   +4 more sources

The Levi-Civita connections of Lorentzian manifolds with prescribed optical geometries

Cubo
We explicitly derive the Christoffel symbols in terms of adapted frame fields for the Levi-Civita connection of a Lorentzian \(n\)-manifold \((M, g)\), equipped with a prescribed optical geometry of Kähler-Sasaki type.
Dmitri V. Alekseevsky, Masoud Ganji, Gerd Schmalz, Andrea Spiro   +3 more
doaj   +2 more sources

On the geometry of the tangent bundle with gradient Sasaki metric [PDF]

Arab Journal of Mathematical Sciences, 2023
Purpose – Let (M, g) be a n-dimensional smooth Riemannian manifold. In the present paper, the authors introduce a new class of natural metrics denoted by gf and called gradient Sasaki metric on the tangent bundle TM. The authors calculate its Levi-Civita
Lakehal Belarbi, Hichem Elhendi
doaj   +1 more source

On connections with torsion on nonholonomic para-Kenmotsu manifolds

Дифференциальная геометрия многообразий фигур, 2023
The concept of a nonholonomic para-Kenmotsu manifold is intro­duced. A nonholonomic para-Kenmotsu manifold is a natural generaliza­tion of a para-Kenmotsu manifold; the distribution of a nonholonomic para-Kenmotsu manifold does not need to be involutive.
A. V. Bukusheva
doaj   +1 more source

On noncommutative Levi-Civita connections [PDF]

International Journal of Geometric Methods in Modern Physics, 2017
We make some observations about Rosenberg’s Levi-Civita connections on noncommutative tori, noting the non-uniqueness of general torsion-free metric-compatible connections without prescribed connection operator for the inner *-derivations, the nontrivial curvature form of the inner *-derivations, and the validity of the Gauss–Bonnet theorem for two ...
Peterka, Mira A., Sheu, Albert Jeu-Liang
openaire   +3 more sources

Levi–Civita Connections on Quantum Spheres

Mathematical Physics, Analysis and Geometry, 2022
AbstractWe introduce q-deformed connections on the quantum 2-sphere and 3-sphere, satisfying a twisted Leibniz rule in analogy with q-deformed derivations. We show that such connections always exist on projective modules. Furthermore, a condition for metric compatibility is introduced, and an explicit formula is given, parametrizing all metric ...
Arnlind J., Ilwale K., Landi G.
openaire   +4 more sources