Results 21 to 30 of about 715 (188)
Homogeneous Geodesics in Generalized Wallach Spaces [PDF]
Bulletin of the Belgian Mathematical Society - Simon Stevin, 2017 We classify generalized Wallach spaces which are g.o. spaces. We also investigate homogeneous geodesics in generalized Wallach spaces for any given invariant Riemannian metric and we give some examples.
Arvanitoyeorgos, Andreas, Wang, Yu
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Geodesic vectors of (α, β)-metrics on hypercomplex 4-dimensional Lie groups [PDF]
Journal of HyperstructuresIn this paper, we consider invariant (α, β)-metrics and describe all geodesic vectors and investigate the set of all homogeneous geodesics on left invariant hypercomplex four dimensional simply connected Lie groups.
Milad Zeinali Laki, Dariush Latifi
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Homogeneous hypersurfaces and totally geodesic submanifolds [PDF]
, 2022 This Ph.D. thesis deals with the study of certain classes of submanifolds in the presence of symmetry. Namely, results have been derived regarding the theory of submanifolds in Riemannian homogeneous spaces with a special emphasis on symmetric spaces.
Rodríguez Vázquez, Alberto
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Geodesic deviation equation in generalized hybrid metric-Palatini gravity
European Physical Journal C: Particles and Fields, 2023 In the context of general relativity, the geodesic deviation equation (GDE) relates the Riemann curvature tensor to the relative acceleration of two neighboring geodesics.
S. Golsanamlou, K. Atazadeh, M. Mousavi
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Generating Geodesic Flows and Supergravity Solutions [PDF]
, 2009 We consider the geodesic motion on the symmetric moduli spaces that arise after timelike and spacellike reductions of supergravity theories. The geodesics correspond to timelike respectively spacelike p-brane Solutions when they are lifted over a p ...
Trigiante, Mario +10 more
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On the initial singularity and extendibility of flat quasi-de Sitter spacetimes
Journal of High Energy Physics, 2023 Inflationary spacetimes have been argued to be past geodesically incomplete in many situations. However, whether the geodesic incompleteness implies the existence of an initial spacetime curvature singularity or whether the spacetime may be extended ...
Ghazal Geshnizjani +2 more
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Homogeneous geodesics in sub-Riemannian geometry
, 2022 We study homogeneous geodesics of sub-Riemannian manifolds, i.e., normal geodesics that are orbits of one-parametric subgroups of isometries. We obtain a criterion for a geodesic to be homogeneous in terms of its initial momentum.
Podobryaev, A. V.
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Remote Sensing, 2022 Clustering-based methods of polarimetric synthetic aperture radar (PolSAR) image superpixel generation are popular due to their feasibility and parameter controllability.
Meilin Li +5 more
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Geometry of Optimal Control for Control-Affine Systems
Symmetry, Integrability and Geometry: Methods and Applications, 2013 Motivated by the ubiquity of control-affine systems in optimal control theory, we investigate the geometry of point-affine control systems with metric structures in dimensions two and three.
Jeanne N. Clelland +2 more
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Is the Universe Anisotropic Right Now? Comparing the Real Universe with the Kasner’s Space-Time
Particles, 2023 We investigate possible astronomical manifestations of space-time anisotropy. The homogeneous vacuum Kasner solution was chosen as a reference anisotropic cosmological model because there are no effects caused by inhomogeneity in this simple model with a
Serge Parnovsky
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