Geodesics in G42
نویسندگان
چکیده
منابع مشابه
Geodesics in Heat
We introduce the heat method for computing the shortest geodesic distance to an arbitrary subset of a given domain. The heat method is robust, efficient, and simple to implement since it is based on solving a pair of standard linear elliptic problems. The resulting algorithm represents a significant breakthrough in the practical computation of distance on a wide variety of geometric domains, si...
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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. Particular attention deserves the appearance of a force parallel to the axial axis and without Newtonian analogue.
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Let M be a Margulis spacetime whose associated complete hyperbolic surface Σ has compact convex core. Generalizing the correspondence between closed geodesics on M and closed geodesics on Σ, we establish an orbit equivalence between recurrent spacelike geodesics on M and recurrent geodesics on Σ. In contrast, no timelike geodesic recurs in neither forward nor backwards time.
متن کاملGeodesics in First-Passage Percolation
We consider a wide class of ergodic first passage percolation processes on Z2 and prove that there exist at least four one-sided geodesics a.s. We also show that coexistence is possible with positive probability in a four color Richardson’s growth model. This improves earlier results of Häggström and Pemantle [9], Garet and Marchand [7] and Hoffman [11] who proved that first passage percolation...
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ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 1994
ISSN: 0022-0396
DOI: 10.1006/jdeq.1994.1101