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Creation of a novel simulation based palliative care curriculum for the emergency medicine resident. [PDF]
Moss HC +9 more
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AmberTorchPB: A Unified Framework for Poisson-Boltzmann-Based Reaction Field Energy Calculation via Tensor Computation. [PDF]
Wu Y, Wang Q, Jiang R, Luo R.
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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
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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
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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
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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
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Jacobi fields and geodesic spheres
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1979SynopsisThis 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.
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JACOBI FIELDS IN GEODESIC SURFACE CONGRUENCES
International Journal of Geometric Methods in Modern Physics, 2010Using 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 ...
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Floquet exponents for Jacobi fields
Ergodic Theory and Dynamical Systems, 1991AbstractThis 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.
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Jacobi Fields, Conjugate Points
1992Let 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
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Abelian fields generated by a Jacobi sum
Commentarii mathematici Universitatis Sancti Pauli = Rikkyo Daigaku sugaku zasshi, 1996Let \(m\) 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 \(\mathbb{Q} (J_\alpha(P))\).
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