Results 1 to 10 of about 5,174 (205)

On Jacobi-Type Vector Fields on Riemannian Manifolds

Mathematics, 2019
In this article, we study Jacobi-type vector fields on Riemannian manifolds. A Killing vector field is a Jacobi-type vector field while the converse is not true, leading to a natural question of finding conditions under which a Jacobi-type vector field ...
Bang-Yen Chen, Sharief Deshmukh, Amira A. Ishan   +2 more
doaj   +3 more sources

The Jacobi Field of a Lévy Process [PDF]

Ukrainian Mathematical Journal, 2003
We derive an explicit formula for the Jacobi field that is acting in an extended Fock space and corresponds to an ($\R$-valued) Lévy process on a Riemannian manifold. The support of the measure of jumps in the Lévy--Khintchine representation for the Lévy process is supposed to have an infinite number of points.
Yurij Berezansky
exaly   +3 more sources

Magnetic Jacobi Fields in 3-Dimensional Cosymplectic Manifolds

Mathematics, 2021
We classify the magnetic Jacobi fields in cosymplectic manifolds of dimension 3, enriching the results in the study of magnetic Jacobi fields derived from uniform magnetic fields. In particular, we give examples of Jacobi magnetic fields in the Euclidean
Marian Ioan Munteanu, Ana Irina Nistor
doaj   +3 more sources

Ricci Solitons and Generalized Ricci Solitons Whose Potential Vector Fields Are Jacobi-Type

Journal of Mathematics
This paper is devoted to Ricci solitons admitting a Jacobi-type vector field. First, we present some rigidity results for Ricci solitons Mn,g,V,λ admitting a Jacobi-type vector field ξ and provide conditions under which ξ is Killing.
Vahid Pirhadi, Ghodratallah Fasihi-Ramandi, Shahroud Azami   +2 more
doaj   +2 more sources

Restricted Jacobi Fields

International Electronic Journal of Geometry, 2021
We generalize the concept of a Jacobi field to nonholonomic Riemannian geometry, considering both nonholonomic Jacobi fields, and, more generally, restricted Jacobi fields. In the first case, the corresponding Jacobi equation involves the nonholonomic connection and the Schouten curvature tensor.
Claudiu Remsing, Dennis I. Barrett
openaire   +4 more sources

Jacobi-Lie T-plurality

SciPost Physics, 2021
We propose a Leibniz algebra, to be called DD$^+$, which is a generalization of the Drinfel'd double. We find that there is a one-to-one correspondence between a DD$^+$ and a Jacobi--Lie bialgebra, extending the known correspondence between a Lie ...
Jose J. Fernandez-Melgarejo, Yuho Sakatani
doaj   +1 more source

Doubly periodic wave structure of the modified Schrödinger equation with fractional temporal evolution

Results in Physics, 2022
Abundant Jacobi elliptic type solutions with distinct physical structures of complex nonlinear conformable time-fractional modified Schrödinger equation are obtained by using the generalized Jacobi elliptic function (GJEF) method.
Pinki Kumari, R.K. Gupta, Sachin Kumar, K.S. Nisar   +3 more
doaj   +1 more source

Non-Existence of Real Hypersurfaces with Parallel Structure Jacobi Operator in S⁶(1)

Mathematics, 2022
It is well known that the sphere S6(1) admits an almost complex structure J which is nearly Kähler. If M is a hypersurface of an almost Hermitian manifold with a unit normal vector field N, the tangent vector field ξ=−JN is said to be characteristic or ...
Miroslava Antić, Djordje Kocić
doaj   +1 more source

Existence of solutions to contact mean-field games of first order

Advanced Nonlinear Studies, 2022
This paper deals with the existence of solutions of a class of contact mean-field game systems of first order consisting of a contact Hamilton-Jacobi equation and a continuity equation.
Hu Xiaotian, Wang Kaizhi
doaj   +1 more source

Stationary solutions and dynamical evolution of the nonlocal Gross–Pitaevskii equation in spin-2 Bose–Einstein condensates

Results in Physics, 2023
In this paper, we investigate the nonlocal Gross–Pitaevskii equation which describes the phenomena of Bose–Einstein condensates under the mean field approximation.
Hongmei Li, Li Peng, Xuefei Wu
doaj   +1 more source