Results 31 to 40 of about 14,865,566 (335)
A maximum principle at infinity with applications to geometric vector fields
Journal of Mathematical Analysis and Applications, 2019 We derive a new form of maximum principle, applicable to a vector field with nonnegative divergence in a connected, oriented, complete noncompact Riemannian manifold. We then use it to obtain some applications to Killing vector fields. More precisely, we
L. Alías +2 more
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Navigation problem and conformal vector fields [PDF]
AUT Journal of Mathematics and Computing, 2021 The navigation technique is very effective to obtain or classify a Finsler metric from a given a Finsler metric (especially a Riemannian metric) under an action of a vector field on a differential manifold.
Qiaoling Xia
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Tailoring optical complex fields with nano-metallic surfaces
Nanophotonics, 2015 Recently there is an increasing interest in complex optical fields with spatially inhomogeneous state of polarizations and optical singularities.
Rui Guanghao, Zhan Qiwen
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Discretization of polynomial vector fields by polarization [PDF]
Proceedings of the Royal Society A, 2015 A novel integration method for quadratic vector fields was introduced by Kahan in 1993. Subsequently, it was shown that Kahan's method preserves a (modified) measure and energy when applied to quadratic Hamiltonian vector fields. Here we generalize Kahan'
E. Celledoni +4 more
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VECTOR FIELDS ON QUANTUM GROUPS [PDF]
International Journal of Modern Physics A, 1996 We construct the space of vector fields on a generic quantum group. Its elements are products of elements of the quantum group itself with left-invariant vector fields. We study the duality between vector fields and one-forms and generalize the construction to tensor fields. A Lie derivative along any (also non-left-invariant) vector field is proposed
ASCHIERI, Paolo Maria, Schupp P.
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Stable solutions of inflation driven by vector fields [PDF]
, 2016 Many models of inflation driven by vector fields alone have been known to be plagued by pathological behaviors, namely ghost and/or gradient instabilities.
Razieh Emami +3 more
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The Poincaré Index and Its Applications
Universe, 2022 We discuss an approach to the problem of calculating the local topological index of vector fields given on complex spaces or varieties with singularities developed by the author over the past few years. Our method is based on the study of the homology of
Alexander G. Aleksandrov
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Flows of singular vector fields and applications to fluid and kinetic equations [PDF]
, 2015 Several physical phenomena arising in fluid dynamics and kinetic equations can be modeled by nonlinear transport PDE. Such quantities are the vorticity of a fluid, or the density of a collection of particles advected by a velocity field which is highly ...
Bohun, Anna
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de Sitter symmetries and inflationary scalar-vector models
Universitas Scientiarum, 2016 In this paper, we study the correspondence between a field theory in de Sitter space in D-dimensions and a dual conformal field theory in a euclidean space in (D − 1)-dimensions.
Juan P. Beltrán Almeida +1 more
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Vector fields on spheres [PDF]
The Annals of Mathematics, 1962 The question of vector fields on spheres arises in homotopy theory and in the theory of fibre bundles, and it presents a classical problem, which may be explained as follows. For each n, let Sn-I be the unit sphere in euclidean n-space Rn. A vector field on Sn-1 is a continuous function v assigning to each point x of Sn-1 a vector v(x) tangent to Sn-1 ...
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