Results 1 to 10 of about 138,062 (229)
Characterizing Round Spheres Using Half-Geodesics [PDF]
, 2019 A half-geodesic is a closed geodesic realizing the distance between any pair of its points. All geodesics in a round sphere are half-geodesics. Conversely, this note establishes that Riemannian spheres with all geodesics closed and sufficiently many half-geodesics are round.
Adelstein, Ian M, Schmidt, Benjamin
arxiv +3 more sources
Homogeneous geodesics in homogeneous Finsler spaces [PDF]
, 2007 In this paper, we study homogeneous geodesics in homogeneous Finsler spaces. We first give a simple criterion that characterizes geodesic vectors. We show that the geodesics on a Lie group, relative to a bi-invariant Finsler metric, are the cosets of the one-parameter subgroups.
Arnold +14 more
arxiv +4 more sources
European Physical Journal C: Particles and FieldsUsing effective field theory methods, we derive the Carrollian analog of the geodesic action. We find that it contains both “electric” and “magnetic” contributions that are in general coupled to each other.
Luca Ciambelli, Daniel Grumiller
doaj +2 more sources
Kinematic space for conical defects
Journal of High Energy Physics, 2017 Kinematic space can be used as an intermediate step in the AdS/CFT dictionary and lends itself naturally to the description of diffeomorphism invariant quantities.
Jesse C. Cresswell, Amanda W. Peet
doaj +3 more sources
Investigation of circular geodesics in a rotating charged black hole in the presence of perfect fluid dark matter [PDF]
Classical and quantum gravity, 2020 In this work we have obtained a charged black hole solution in the presence of perfect fluid dark matter (PFDM) and discuss its energy conditions. The metric corresponding to the rotating avatar of this black hole solution is obtained by incorporating ...
A. Das +2 more
semanticscholar +1 more source
Three-halves variation of geodesics in the directed landscape [PDF]
Annals of Probability, 2020 We show that geodesics in the directed landscape have $3/2$-variation and that weight functions along the geodesics have cubic variation. We show that the geodesic and its landscape environment around an interior point has a small-scale limit.
Duncan Dauvergne +2 more
semanticscholar +1 more source
The convex hull swampland distance conjecture and bounds on non-geodesics [PDF]
Journal of High Energy Physics, 2020 The Swampland Distance Conjecture (SDC) restricts the geodesic distances that scalars can traverse in effective field theories as they approach points at infinite distance in moduli space.
J. Calderón-Infante +2 more
semanticscholar +1 more source
Homogeneous geodesics in sub-Riemannian geometry [PDF]
ESAIM: Control, Optimisation and Calculus of Variations. 29, 11
(2023), 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. We prove that any weakly commutative sub-Riemannian homogeneous space is geodesic orbit, that means all geodesics are ...
arxiv +1 more source
Non-existence of bi-infinite geodesics in the exponential corner growth model [PDF]
Forum of Mathematics, Sigma, 2019 This paper gives a self-contained proof of the non-existence of nontrivial bi-infinite geodesics in directed planar last-passage percolation with exponential weights.
M. Balázs +2 more
semanticscholar +1 more source
Lyapunov exponent, ISCO and Kolmogorov–Senai entropy for Kerr–Kiselev black hole
European Physical Journal C: Particles and Fields, 2021 Geodesic motion has significant characteristics of space-time. We calculate the principle Lyapunov exponent (LE), which is the inverse of the instability timescale associated with this geodesics and Kolmogorov–Senai (KS) entropy for our rotating Kerr ...
Monimala Mondal +2 more
doaj +1 more source