Results 31 to 40 of about 83,771 (308)
Mathematics, 2022 In shape analysis, the interpolation of shapes’ trajectories is often performed by means of geodesics in an appropriate Riemannian Shape Space. Over the past several decades, different metrics and shape spaces have been proposed, including Kendall shape ...
Valerio Varano +5 more
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How can we determine if a spacetime is flat?
Frontiers in Physics, 2013 A spacetime is locally flat if and only if no geodesical deviation exists for congruences of all kinds of geodesics. However, while for causal geodesics the deviation can be measured observing the motion of (infinitesimal) falling bodies, it does not
Valter eMoretti, Roberto eDi Criscienzo
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Quantum Raychaudhuri equation [PDF]
, 2014 We compute quantum corrections to the Raychaudhuri equation, by replacing classical geodesics with quantal (Bohmian) trajectories, and show that they prevent focusing of geodesics, and the formation of conjugate points.
Das, Saurya
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Algorithms for geodesics [PDF]
Journal of Geodesy, 2012 LaTex, 12 pages, 8 figures. Version 2 corrects some errors and adds numerical examples.
openaire +3 more sources
Evolutionary dynamics on a regular networked structured and unstructured multi‐population
International Journal of Robust and Nonlinear Control, EarlyView., 2023 Abstract In this paper, we study collective decision‐making in a multi‐population framework, where groups of individuals represent whole populations that interact by means of a regular network. Each group consists of a number of players and every player can choose between two options.
Wouter Baar +2 more
wiley +1 more source
Duality on Geodesics of Cartan Distributions and Sub-Riemannian Pseudo-Product Structures
Demonstratio Mathematica, 2015 Given a five dimensional space endowed with a Cartan distribution, the abnormal geodesics form another five dimensional space with a cone structure. Then it is shown in (15), that, if the cone structure is regarded as a control system, then the space of ...
Ishikawa Goo +2 more
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Metamorphoses of a photon sphere
, 2017 There are circular planar null geodesics at $r=3M$ around a Schwarzschild black hole of mass $M$. These geodesics form a photon sphere. Null geodesics of the Schwarzschild space-time which do not form the photon sphere are either escape to null infinity ...
Shoom, Andrey A.
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Communications in Mathematical Physics, 1982 Using the holomorphic geometry of the space of straight lines in Euclidean 3-space, it is shown that every static monopole of chargek may be constructed canonically from an algebraic curve by means of the Atiyah-Ward Ansatz\(A_k \).
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Geodesics in generalized Finsler spaces: singularities in dimension two
, 2016 We study singularities of geodesics flows in two-dimensional generalized Finsler spaces (pseudo-Finsler spaces). Geodesics are defined as extremals of a certain auxiliary functional whose non-isotropic extremals coincide with extremals of the action ...
Remizov, A. O.
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Multiple Closed Geodesics on Positively Curved Finsler Manifolds
Advanced Nonlinear Studies, 2019 In this paper, we prove that on every Finsler manifold (M,F){(M,F)} with reversibility λ and flag curvature K satisfying (λλ+1 ...
Wang Wei
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