Results 161 to 170 of about 5,174 (205)

Creation of a novel simulation based palliative care curriculum for the emergency medicine resident. [PDF]

open access: yesBMC Med Educ
Moss HC   +9 more
europepmc   +1 more source

On Jacobi fields

General Relativity and Gravitation, 1977
We define curves on a Riemannian manifold as integrals of generalized Jacobi fields. We show that the force term that deviates the trajectory from the geodesic motion can be constructed as a functional of the metric tensor. These curves can be interpreted as particles (observers) coupled nonminimally with gravitation that can provide a class of ...
Novello, M.   +2 more
openaire   +2 more sources

Image of a Jacobi Field

2007
Consider the two Hilbert spaces H − and T−. Let K +: H − → T- be a bounded operator. Consider a measure ρ on H -. Denote by ρK the image of the measure ρ under K +. This paper aims to study the measure ρK assuming ρ to be the spectral measure of a Jacobi field. We present a family of operators whose spectral measure equals ρK.
Yurij M. Berezansky, Artem D. Pulemyotov
openaire   +1 more source

Jacobi fields and geodesic spheres

Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1979
SynopsisThis is a contribution to the general problem of determining the extent to which the geometry of a riemannian manifold is determined by properties of its geodesic spheres. In particular we show that total umbilicity of geodesic spheres determines riemannian manifolds of constant sectional curvature; quasi-umbilicity of geodesic spheres ...
Vanhecke, Lieven, Willmore, T. J.
openaire   +2 more sources

JACOBI FIELDS IN GEODESIC SURFACE CONGRUENCES

International Journal of Geometric Methods in Modern Physics, 2010
Using the Nambu–Goto string action in the space of the surfaces spanned by closed strings in a spacetime manifold, we investigated the geodesic surface equation in the space of surfaces joining two given strings and the geodesic surface deviation equation in geodesic surface congruence which yields a Jacobi field along a given geodesic surface, and ...
openaire   +2 more sources

Floquet exponents for Jacobi fields

Ergodic Theory and Dynamical Systems, 1991
AbstractThis paper introduces a Riemannian invariant of a compact Riemannian manifold based on the spectral theory for the Jacobi field operator. It is the Floquet exponent for this operator, a purely dynamical quantity computable directly from the asymptotic behavior of Jacobi fields.
openaire   +2 more sources

Jacobi Fields, Conjugate Points

1992
Let us go back to the action principle as realized by Jacobi, i.e., time is eliminated, so we are dealing with the space trajectory of a particle. In particular, we want to investigate the conditions under which a path is a minimum of the action and those under which it is merely an extremum.
Walter Dittrich, Martin Reuter
openaire   +1 more source

Abelian fields generated by a Jacobi sum

Commentarii mathematici Universitatis Sancti Pauli = Rikkyo Daigaku sugaku zasshi, 1996
Let \(m\) be a natural number, \(K=\mathbb{Q} (\zeta_m)\) the \(m\)-th cyclotomic field, \(p\) a prime number \(p\nmid m\) and \(P\) a prime of \(K\) lying over \(p\). For every tuple \(\alpha\in (\mathbb{Z}/m \mathbb{Z})^{n+2}\) \((n\geq 0)\) \(J_\alpha(P)\) is an element of \(K\) and the question is to determine the field \(\mathbb{Q} (J_\alpha(P))\).
openaire   +2 more sources

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