Results 31 to 40 of about 12,200 (306)
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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Chaos, Complexity and Transport, 2008 13 pages, 27 figures. PDFLaTeX with RevTeX4-1 macros. Fixed some typos and updated references. Published in proceedings of the conference on "Chaos, Complexity, and Transport" (Le Pharo, Marseille, June 2007)
Thiffeault, Jean-Luc, Kamhawi, Khalid
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Efficient Quasi-Geodesics on the Stiefel Manifold [PDF]
, 2021 Solving the so-called geodesic endpoint problem, i.e., finding a geodesic that connects two given points on a manifold, is at the basis of virtually all data processing operations, including averaging, clustering, interpolation and optimization.
Ralf Zimmermann +3 more
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Infinite geodesics of sub-Finsler distances in Heisenberg groups [PDF]
, 2021 We consider Heisenberg groups equipped with a sub-Finsler metric. Using methods of optimal control theory we prove that in this geometric setting the infinite geodesics are horizontal lines under the assumption that the sub-Finsler metric is defined by a
Balogh, Zoltán M, Calogero, Andrea
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Geodesic walks in polytopes [PDF]
Proceedings of the 49th Annual ACM SIGACT Symposium on Theory of Computing, 2017 We introduce the geodesic walk for sampling Riemannian manifolds and apply it to the problem of generating uniform random points from polytopes in R^n specified by m inequalities. The walk is a discrete-time simulation of a stochastic differential equation (SDE) on the Riemannian manifold equipped with the metric induced by the Hessian of a convex ...
Yin Tat Lee, Santosh S. Vempala
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The topology and geometry of the space of null geodesics [PDF]
, 2020 This talk will provide a general introduction to the space of null geodesics. I will begin with a discussion of the case of Minkowski space, a special case with a great deal of structure.
Low, Robert
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Geodesics in Margulis spacetimes [PDF]
, 2011 Let M³ be a Margulis spacetime whose associated complete hyperbolic surface 62 has a compact convex core. Generalizing the correspondence between closed geodesics on M³ and closed geodesics on 62, we establish an orbit equivalence between recurrent ...
Labourie, François +3 more
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Remarks on Wiener Index of Bipolar Fuzzy Incidence Graphs
Frontiers in Physics, 2021 Fuzzy data plays an important role in daily life, and fuzzy structured data is usually represented by fuzzy graphs, where the graph structure is used to describe the associated structure of the fuzzy data.
Shu Gong, Shu Gong, Gang Hua
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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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Length Modelling of Spiral Superficial Soft Strain Sensors Using Geodesics and Covering Spaces
Robotics, 2023 Piecewise constant curvature soft actuators can generate various types of movements. These actuators can undergo extension, bending, rotation, twist, or a combination of these.
Abdullah Al-Azzawi +3 more
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