Results 11 to 20 of about 4,006,812 (300)
On Products of Uniquely Geodesic Spaces
The American Mathematical Monthly, 2015 After introducing the geodesic spaces, we prove that the product of two complete, uniquely geodesic spaces with respect to the product metric dp is again a uniquely geodesic space for 1 < p < ∞.
Kılıç, Mehmet, Koçak, Şahin
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Geometric flows on soliton moduli spaces [PDF]
, 2013 It is well known that the low energy dynamics of many types of soliton can be approximated by geodesic motion on Mn, the moduli space of static n-solitons, which is usually a Kähler manifold.
Alqahtani, Lamia Saeed M
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On the generalized Jacobi equation. [PDF]
, 2008 The standard text-book Jacobi equation (equation of geodesic deviation) arises by linearizing the geodesic equation around some chosen geodesic, where the linearization is done with respect to the coordinates and the velocities.
Perlick, Volker
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Regular and Chaotic Dynamics, 2022 The space $J^k$ of $k$-jets of a real function of one real variable $x$ admits the structure of Carnot group type. As such, $J^k$ admits a submetry (\sR submersion) onto the Euclidean plane. Horizontal lifts of Euclidean lines (which are the left-translates of horizontal one-parameter subgroups) are thus globally minimizing geodesics on $J^k$. All $J^k$
Bravo-Doddoli, Alejandro +1 more
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Spaces of Geodesic Triangulations of Surfaces [PDF]
Discrete & Computational Geometry, 2022 AbstractWe give a short proof of the contractibility of the space of geodesic triangulations with fixed combinatorial type of a convex polygon in the Euclidean plane. Moreover, for any $$n>0$$ n > 0 , we show that there exists a space
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Geodesic complexity for non-geodesic spaces [PDF]
Boletín de la Sociedad Matemática Mexicana, 2021 One major ...
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On the geometry of spaces of oriented geodesics [PDF]
Annals of Global Analysis and Geometry, 2011 Let M be either a simply connected pseudo-Riemannian space of constant curvature or a rank one Riemannian symmetric space (other than the octonion hyperbolic plane), and consider the space L(M) of oriented geodesics of M. The space L(M) is a smooth homogeneous manifold and in this paper we describe all invariant symplectic structures, (para)complex ...
Alekseevsky, Dmitri V. +2 more
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Geodesics in Lewis space–time [PDF]
Journal of Mathematical Physics, 1998 The geodesic equations are integrated for the Lewis metric and the effects of the different parameters appearing in the Weyl class on the motion of test particles are brought out. The appearance of a force parallel to the axial axis is without Newtonian analog and deserves particular attention.
Herrera, L., Santos, N. O.
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Fan’s inequality in geodesic spaces
Applied Mathematics Letters, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Constantin P. Niculescu, Ionel Roventa
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Geodesic complexity of a cube [PDF]
, 2023 The topological (resp. geodesic) complexity of a topological (resp. metric) space is roughly the smallest number of continuous rules required to choose paths (resp. shortest paths) between any points of the space. We prove that the geodesic complexity
Davis, Donald M.
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