Results 1 to 10 of about 29,700 (193)
Arithmetic Levi-Civita connection [PDF]
Selecta Mathematica, 2019 This paper is part of a series of papers where an arithmetic analogue of classical differential geometry is being developed. In this arithmetic differential geometry functions are replaced by integer numbers, derivations are replaced by Fermat quotient ...
Buium, Alexandru
core +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
The Levi-Civita connections of Lorentzian manifolds with prescribed optical geometries
CuboWe 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 +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
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
Levi-Civita Ricci-Flat Doubly Warped Product Hermitian Manifolds
Advances in Mathematical Physics, 2022 Let M1,g and M2,h be two Hermitian manifolds. The doubly warped product (abbreviated as DWP) Hermitian manifold of M1,g and M2,h is the product manifold M1×M2 endowed with the warped product Hermitian metric G=f22g+f12h, where f1 and f2 are positive ...
Qihui Ni +3 more
doaj +1 more source
Null-Projectability of Levi-Civita Connections
Results in Mathematics, 2023 15 ...
Andrzej Derdzinski, Kirollos Masood
openaire +3 more sources
First Natural Connection on Riemannian Π-Manifolds
Mathematics, 2023 A natural connection with torsion is defined, and it is called the first natural connection on the Riemannian Π-manifold. Relations between the introduced connection and the Levi–Civita connection are obtained.
Hristo Manev
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