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.
Fady Tarek Farouk +3 more
doaj +3 more sources
Levi-Civita connections for a class of spectral triples [PDF]
Letters in Mathematical Physics, 2019 minor changes. To appear in Letters in Mathematical Physics.
Bhowmick, Jyotishman +2 more
openaire +5 more sources
Compact Textbooks in MathematicsAbstractThe Levi-Civita connection of a surface $$f\colon M \to \mathbb {R}^3$$ f : M → ℝ 3 ...
Ulrich Pinkall, Oliver Gross
exaly +6 more sources
On the (non-)uniqueness of the Levi-Civita solution in the Einstein–Hilbert–Palatini formalism
Physics Letters B, 2017 We study the most general solution for affine connections that are compatible with the variational principle in the Palatini formalism for the Einstein–Hilbert action (with possible minimally coupled matter terms).
Antonio N. Bernal +5 more
doaj +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
openaire +5 more sources
Existence and uniqueness of the Levi-Civita connection on noncommutative differential forms
Advances in MathematicsWe combine Hilbert module and algebraic techniques to give necessary and sufficient conditions for the existence of an Hermitian torsion-free connection on the bimodule of differential one-forms of a first order differential calculus. In the presence of the extra structure of a bimodule connection, we give sufficient conditions for uniqueness. We prove
Mesland, Bram, Rennie, Adam
openaire +4 more sources
Major Reference Works, Page 169-176., 2023 International Tables for Crystallography is the definitive resource and reference work for crystallography and structural science.
Each of the eight volumes in the series contains articles and tables of data relevant to crystallographic research and to applications of crystallographic methods in all sciences concerned with the ...
Gerrit van der Laan C. Chantler +2 more
wiley +1 more source
On the geometry of sub-Riemannian manifolds equipped with a canonical quarter-symmetric connection
Дифференциальная геометрия многообразий фигур, 2023 In this article, a sub-Riemannian manifold of contact type is understood as a Riemannian manifold equipped with a regular distribution of codimension-one and by a unit structure vector field orthogonal to this distribution. This vector field is called a
S. V. Galaev
doaj +1 more source
Levi-Civita connections from toral actions
Journal of Geometry and Physics, 2022 We construct tame differential calculi coming from toral actions on a class of $\mathrm{C}^*$-algebras. Relying on the existence of a unique Levi-Civita connection on such a calculus, we prove a version of the Bianchi identity. A Gauss-Bonnet theorem for the canonical tame calculus of rank two is studied.
Bhattacharjee, Suvrajit +2 more
openaire +2 more sources
Stability of the Levi-Civita tensors and an Alon–Tarsi type theorem
Comptes Rendus. Mathématique, 2023 We show that the Levi-Civita tensors are semistable in the sense of Geometric Invariant Theory, which is equivalent to an analogue of the Alon–Tarsi conjecture on Latin squares.
Yeliussizov, Damir
doaj +1 more source