Results 21 to 30 of about 1,880,861 (238)

On Jacobi field splitting theorems

open access: yesDifferential Geometry and its Applications, 2014
Expository ...
Gumaer, Dennis, Wilhelm, Frederick
openaire   +3 more sources

A Straightforward Sufficiency Proof for a Nonparametric Problem of Bolza in the Calculus of Variations

open access: yesAxioms, 2022
We study a variable end-points calculus of variations problem of Bolza containing inequality and equality constraints. The proof of the principal theorem of the paper has a direct nature since it is independent of some classical sufficiency approaches ...
Gerardo Sánchez Licea
doaj   +1 more source

On the structure vector field of a real hypersurface in complex quadric

open access: yesOpen Mathematics, 2018
From the notion of Jacobi type vector fields for a real hypersurface in complex quadric Qm we prove that if the structure vector field is of Jacobi type it is Killing when the real hypersurface is either Hopf or compact.
Dios Pérez Juan de
doaj   +1 more source

Quasi-Jacobi forms, elliptic genera and strings in four dimensions

open access: yesJournal of High Energy Physics, 2021
We investigate the interplay between the enumerative geometry of Calabi-Yau fourfolds with fluxes and the modularity of elliptic genera in four-dimensional string theories.
Seung-Joo Lee   +3 more
doaj   +1 more source

Jacobi Stability Analysis of Scalar Field Models with Minimal Coupling to Gravity in a Cosmological Background

open access: yesAdvances in High Energy Physics, 2016
We study the stability of the cosmological scalar field models by using the Jacobi stability analysis, or the Kosambi-Cartan-Chern (KCC) theory. In this approach, we describe the time evolution of the scalar field cosmologies in geometric terms, by ...
Bogdan Dănilă   +4 more
doaj   +1 more source

LÉVY PROCESSES AND JACOBI FIELDS [PDF]

open access: yesQuantum Probability and Infinite Dimensional Analysis, 2005
We review the recent results on the Jacobi field of a (real-valued) Lévy process defined on a Riemannian manifold. In the case where the Lévy process is neither Gaussian, nor Poisson, the corresponding Jacobi field acts in an extended Fock space. We also give a unitary equivalent representation of the Jacobi field in a usual Fock space.
openaire   +1 more source

q-Differential equations for q-classical polynomials and q-Jacobi-Stirling numbers [PDF]

open access: yes, 2016
We introduce, characterise and provide a combinatorial interpretation for the so-called q-Jacobi–Stirling numbers. This study is motivated by their key role in the (reciprocal) expansion of any power of a second order q-differential operator having the
Zeng, Jiang   +5 more
core   +1 more source

On the geometric structure of characteristic vector fields related with nonlinear equations of the Hamilton-Jacobi type [PDF]

open access: yesOpuscula Mathematica, 2007
The Cartan-Monge geometric approach to the characteristics method for Hamilton-Jacobi type equations and nonlinear partial differential equations of higher orders is analyzed.
Natalia K. Prykarpatska   +1 more
doaj  

GEOMETRIC HAMILTON–JACOBI FIELD THEORY [PDF]

open access: yesInternational Journal of Geometric Methods in Modern Physics, 2012
I review my proposal about how to extend the geometric Hamilton–Jacobi theory to higher derivative field theories on fiber bundles.
openaire   +3 more sources

Odd Jacobi Manifolds and Loday-Poisson Brackets

open access: yesJournal of Mathematics, 2014
We construct a nonskew symmetric version of a Poisson bracket on the algebra of smooth functions on an odd Jacobi supermanifold. We refer to such Poisson-like brackets as Loday-Poisson brackets.
Andrew James Bruce
doaj   +1 more source

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