Results 21 to 30 of about 5,174 (205)

LÉVY PROCESSES AND JACOBI FIELDS [PDF]

Quantum 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.
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Commuting Conditions of the k-th Cho operator with the structure Jacobi operator of real hypersurfaces in complex space forms

Open Mathematics, 2015
In this paper three dimensional real hypersurfaces in non-flat complex space forms whose k-th Cho operator with respect to the structure vector field ξ commutes with the structure Jacobi operator are classified.
Panagiotidou Konstantina, Pérez Juan de Dios   +1 more
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Integrable geodesic flows on tubular sub-manifolds

Pracì Mìžnarodnogo Geometričnogo Centru, 2018
In this paper we construct a new class of surfaces whose geodesic flow is integrable (in the sense of Liouville). We do so by generalizing the notion of tubes about curves to 3-dimensional manifolds, and using Jacobi fields we derive conditions under ...
Thomas Waters
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GEOMETRIC HAMILTON–JACOBI FIELD THEORY [PDF]

International 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.
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The Hamilton-Jacobi Treatment of Complex Fields as Constrained Systems [PDF]

مجلة جامعة النجاح للأبحاث العلوم الطبيعية, 2007
The complex scalar field is treated as a constrained system using the Hamilton-Jacobi approach. The reduced phase space Hamiltonian density is obtained without introducing Lagrange multipliers and without any additional gauge fixing condition.
Tamer Eleyan
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Geometry of Hamiltonian Dynamics with Conformal Eisenhart Metric

International Journal of Mathematics and Mathematical Sciences, 2011
We characterize the geometry of the Hamiltonian dynamics with a conformal metric. After investigating the Eisenhart metric, we study the corresponding conformal metric and obtain the geometric structure of the classical Hamiltonian dynamics. Furthermore,
Linyu Peng, Huafei Sun, Xiao Sun
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The Hamilton-Jacobi equation and holographic renormalization group flows on sphere

Journal of High Energy Physics, 2020
We study the Hamilton-Jacobi formulation of effective mechanical actions associated with holographic renormalization group flows when the field theory is put on the sphere and mass terms are turned on.
Nakwoo Kim, Se-Jin Kim
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q-Calculus as operational algebra; pp. 73–97 [PDF]

Proceedings of the Estonian Academy of Sciences, 2009
This second paper on operational calculus is a continuation of Ernst, T. q-Analogues of some operational formulas. Algebras Groups Geom., 2006, 23(4), 354–374. We find multiple q-analogues of formulas in Carlitz, L.
Thomas Ernst
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Efficient computation of pairings on Jacobi quartic elliptic curves

Journal of Mathematical Cryptology, 2014
This paper proposes the computation of the Tate pairing, Ate pairing and its variations on the special Jacobi quartic elliptic curve Y2=dX4+Z4$Y^{2}=dX^{4}+Z^{4}$.
Duquesne Sylvain, El Mrabet Nadia, Fouotsa Emmanuel   +2 more
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Jacobi fields in nonholonomic mechanics

Journal of Physics A: Mathematical and Theoretical, 2022
Abstract In this paper, we define Jacobi fields for nonholonomic mechanics using a similar characterization than in Riemannian geometry. We give explicit conditions to find Jacobi fields and finally we find the nonholonomic Jacobi fields in two equivalent ways: the first one, using an appropriate complete lift of the nonholonomic ...
Alexandre Anahory Simoes, Juan Carlos Marrero, David Martín de Diego   +2 more
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