Results 71 to 80 of about 531 (177)

Geometric Properties of the Lightlike Biharmonic Curves in 3D pp-Wave Space

Universe
In this article, we explore the geometric properties of the trajectory of biharmonic particles modeled as lightlike biharmonic curves in 3D pp-wave space.
Jianguo Sun, Danhong Chen, Lunan Wang
doaj   +1 more source

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 ...
openaire   +2 more sources

Metric compatibility and Levi-Civita connections on quantum groups

Journal of Algebra
40 pages, fully revised version, improved condition for existence and uniqueness of Levi-Civita connections, clarified relation to [Bhowmick, Mukhopadhyay, J. Algebra 563, 2020] in Remarks 5.6 i) and 5.11. Added subsection for triangular quantum groups. Improved readability.
Aschieri P., Weber T.
openaire   +5 more sources

Integrating a Three‐Dimensional TKE‐Based Subgrid Diffusion Scheme Into GFDL FV3

Journal of Advances in Modeling Earth Systems, Volume 18, Issue 6, June 2026.
Abstract We present the implementation of an inline three‐dimensional (3D) turbulent kinetic energy (TKE)‐based subgrid diffusion scheme in the Geophysical Fluid Dynamics Laboratory (GFDL) Finite‐Volume Cubed‐Sphere (FV3) dynamical core. This scheme addresses the need for a unified and physically grounded treatment of turbulence as FV3 is increasingly ...
Kun Gao, Lucas Harris, Ping Zhu, Linjiong Zhou, Joseph Mouallem   +4 more
wiley   +1 more source

Diffeological Levi-Civita connections

, 2017
A diffeological connection on a diffeological vector pseudo-bundle is defined just the usual one on a smooth vector bundle; this is possible to do, because there is a standard diffeological counterpart of the cotangent bundle. On the other hand, there is not yet a standard theory of tangent bundles, although there are many suggested and promising ...
openaire   +2 more sources

Selective Convergence of Followers to Multiple Leaders With Repulsion and Cohesion on Riemannian Manifolds

Studies in Applied Mathematics, Volume 156, Issue 6, June 2026.
ABSTRACT We study the long‐term dynamics of followers that selectively follow one of multiple leaders on Riemannian manifolds, where the leaders interact through repulsive forces while remaining cohesively bounded. We propose a multileader–follower multiagent system defined on Riemannian manifolds. In our model, each follower chooses exactly one leader
Hyunjin Ahn
wiley   +1 more source

On the Non Metrizability of Berwald Finsler Spacetimes

Universe, 2020
We investigate whether Szabo’s metrizability theorem can be extended to Finsler spaces of indefinite signature. For smooth, positive definite Finsler metrics, this important theorem states that, if the metric is of Berwald type (i.e., its Chern–Rund ...
Andrea Fuster, Sjors Heefer, Christian Pfeifer, Nicoleta Voicu   +3 more
doaj   +1 more source

On the tightness of left‐invariant contact structures

Bulletin of the London Mathematical Society, Volume 58, Issue 6, June 2026.
Abstract We prove that all left‐invariant contact structures on three‐dimensional Lie groups are tight. The argument is based on Riemannian methods and establishes a unique factorization property for any Lie group admitting a left‐invariant contact structure, other than SU(2)$\mathrm{SU}(2)$. We then make use of such factorization property to construct
Eugenio Bellini
wiley   +1 more source

Flat Connection for Rotating Vacuum Spacetimes in Extended Teleparallel Gravity Theories

Universe, 2019
Teleparallel geometry utilizes Weitzenböck connection which has nontrivial torsion but no curvature and does not directly follow from the metric like Levi−Civita connection. In extended teleparallel theories, for instance in f ( T ) or
Laur Järv, Manuel Hohmann, Martin Krššák, Christian Pfeifer   +3 more
doaj   +1 more source

Independence and strong independence complexes of finite groups

Journal of the London Mathematical Society, Volume 113, Issue 6, June 2026.
Abstract Let G$G$ be a finite group. In [10], two different concepts of independence (namely, independence and strong independence) are introduced for the subsets of G$G$, yielding to the definition of two simplicial complexes whose vertices are the elements of G$G$. The strong independence complex Σ∼(G)$\tilde{\Sigma }(G)$ turns out to be a subcomplex
Andrea Lucchini, Mima Stanojkovski
wiley   +1 more source