Results 21 to 30 of about 1,880,861 (238)
On Jacobi field splitting theorems
Expository ...
Gumaer, Dennis, Wilhelm, Frederick
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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
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On the structure vector field of a real hypersurface in complex quadric
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
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Quasi-Jacobi forms, elliptic genera and strings in four dimensions
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
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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
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LÉVY PROCESSES AND JACOBI FIELDS [PDF]
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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q-Differential equations for q-classical polynomials and q-Jacobi-Stirling numbers [PDF]
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
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On the geometric structure of characteristic vector fields related with nonlinear equations of the Hamilton-Jacobi type [PDF]
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
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GEOMETRIC HAMILTON–JACOBI FIELD THEORY [PDF]
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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Odd Jacobi Manifolds and Loday-Poisson Brackets
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
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