Results 11 to 20 of about 19,550 (73)
Chains in CR geometry as geodesics of a Kropina metric [PDF]
, 2019 With the help of a generalization of the Fermat principle in general relativity, we show that chains in CR geometry are geodesics of a certain Kropina metric constructed from the CR structure.
Cheng, Jih-Hsin +3 more
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Eisenhart's theorem and the causal simplicity of Eisenhart's spacetime [PDF]
, 2006 We give a causal version of Eisenhart's geodesic characterization of classical mechanics. We emphasize the geometric, coordinate independent properties needed to express Eisenhart's theorem in light of modern studies on the Bargmann structures (lightlike
Minguzzi, E.
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Entanglement renormalization and integral geometry
, 2015 We revisit the applications of integral geometry in AdS$_3$ and argue that the metric of the kinematic space can be realized as the entanglement contour, which is defined as the additive entanglement density.
Huang, Xing, Lin, Feng-Li
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Schwarzschild Spacetime without Coordinates
, 2009 We discuss how to construct the full Schwarzschild (Kruskal-Szekeres) spacetime in one swoop by using the bundle of orthonormal Lorentz frames and the Einstein equation without the use of coordinates.
Alvarez, Orlando
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Closed manifolds admitting metrics with the same geodesics
, 2004 The goal of this survey is to give a list of resent results about topology of manifolds admitting different metrics with the same geodesics. We emphasize the role of the theory of integrable systems in obtaining these results.Comment: Submitted to ...
Matveev, Vladimir S.
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Convex neighborhoods for Lipschitz connections and sprays
, 2014 We establish that over a C^{2,1} manifold the exponential map of any Lipschitz connection or spray determines a local Lipeomophism and that, furthermore, reversible convex normal neighborhoods do exist.
Minguzzi, E.
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Stability of isometric maps in the Heisenberg group
, 2008 In this paper we prove some approximation results for biLipschitz maps in the Heisenberg group. Namely, we show that a biLipschitz map with biLipschitz constant close to one can be pointwise approximated, quantitatively on any fixed ball, by an isometry.
Arcozzi, Nicola, Morbidelli, Daniele
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On the Singularities of Reissner-Nordstr\"{o}m Space-Time
, 2004 It is shown that if two Reissner-Nordstr\"{o}m space-times, both with the same mass m and charge e, glued together in the singularities, then the light ray in black hole of the first space-time can go continuously through the singularity into black hole ...
Abdel-Megied, M., Gad, Ragab M.
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Exact Geosedics and Shortest Paths on Polyhedral Surface [PDF]
, 2007 We present two algorithms for computing distances along a non-convex polyhedral surface. The first algorithm computes exact minimal-geodesic distances and the second algorithm combines these distances to compute exact shortest-path distances along the ...
Balasubramanian, Mukund +2 more
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Curvature-dimension bounds for Lorentzian splitting theorems
, 2017 We analyze Lorentzian spacetimes subject to curvature-dimension bounds using the Bakry-\'Emery-Ricci tensor. We extend the Hawking-Penrose type singularity theorem and the Lorentzian timelike splitting theorem to synthetic dimensions $N\le 1$, including ...
Woolgar, Eric, Wylie, William
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