Results 101 to 110 of about 29,700 (193)

Geodesic rigidity of Levi-Civita connections admitting essential projective vector fields [PDF]

Geometriae Dedicata, 2019
In this paper, it is proved that a connected 3-dimensional Riemannian manifold or a closed connected semi-Riemannian manifold $M^n$($n>1$) admitting a projective vector field with a non-linearizable singularity is projectively flat.
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When is a Connection a Levi-Civita Connection?

, 2008
We consider the more general question as to when a connection is a metric connection. There are two aspects to this investigation: first, the determination of the integrability conditions that ensure the existence of a local parallel metric in the neighbourhood of a given point and second, the characterization of the topological obstruction to a ...
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Local conformal symmetry in non-Riemannian geometry and the origin of physical scales

European Physical Journal C: Particles and Fields, 2017
We introduce an extension of the Standard Model and General Relativity built upon the principle of local conformal invariance, which represents a generalization of a previous work by Bars, Steinhardt and Turok. This is naturally realized by adopting as a
Marco de Cesare, John W. Moffat, Mairi Sakellariadou   +2 more
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Levi-Civita connection on the irreducible quantum flag manifolds

We classify covariant metrics (in the sense of Beggs and Majid) on a class of quantum homogeneous spaces. In particular, our classification implies the existence of a unique (up to scalar) quantum symmetric covariant metric on the Heckenberger--Kolb calculi for the quantized irreducible flag manifolds. Moreover, we prove the existence and uniqueness of
Bhowmick, Jyotishman, Ghosh, Bappa, Krutov, Andrey O., Buachalla, Réamonn Ó   +3 more
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Riemannian gradient and Levi-Civita connection for fixed-rank matrices

, 2020
We provide formulas for Riemannian gradient and Levi-Civita connection for a family of metrics on fixed-rank matrix manifolds, based on nonconstant metrics on Stiefel manifolds.
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Quantum Riemannian geometry of phase space and nonassociativity

Demonstratio Mathematica, 2017
Noncommutative or ‘quantum’ differential geometry has emerged in recent years as a process for quantizing not only a classical space into a noncommutative algebra (as familiar in quantum mechanics) but also differential forms, bundles and Riemannian ...
Beggs Edwin J., Majid Shahn
doaj   +1 more source

The canonical generalised Levi-Civita connection and its curvature

34 ...
Cortés, Vicente, Mackevicius, Matas, Mohaupt, Thomas, Schiller, Oskar   +3 more
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Palatini Gauss-Bonnet theory

Journal of High Energy Physics
We consider a class of models in even spacetime dimensions 2n which share many similarities with Chern-Simons theories in odd spacetime dimensions 2n + 1.
Máximo Bañados, Marc Henneaux
doaj   +1 more source

Intrinsic Optimal Control for Mechanical Systems on Lie Group

Advances in Mathematical Physics, 2017
The intrinsic infinite horizon optimal control problem of mechanical systems on Lie group is investigated. The geometric optimal control problem is built on the intrinsic coordinate-free model, which is provided with Levi-Civita connection.
Chao Liu, Shengjing Tang, Jie Guo
doaj   +1 more source

Information-Geometric Approach for a One-Sided Truncated Exponential Family. [PDF]

Entropy (Basel), 2023
Yoshioka M, Tanaka F.
europepmc   +1 more source