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Geodesic orbit Riemannian structures onRn [PDF]

open access: yesJournal of Geometry and Physics, 2018
A geodesic orbit manifold is a complete Riemannian manifold all of whose geodesics are orbits of one-parameter groups of isometries. We give both a geometric and an algebraic characterization of geodesic orbit manifolds that are diffeomorphic to  R n ...
Carolyn Gordon, Yu.G. Nikonorov
semanticscholar   +1 more source

Anatomy of geodesic Witten diagrams [PDF]

open access: yes, 2017
A bstractWe revisit the so-called “Geodesic Witten Diagrams” (GWDs) [1], proposed to be the holographic dual configuration of scalar conformal partial waves, from the perspectives of CFT operator product expansions.
Heng-Yu Chen, En-Jui Kuo, Hideki Kyono
semanticscholar   +1 more source

Spinning geodesic Witten diagrams [PDF]

open access: yes, 2017
A bstractWe present an expression for the four-point conformal blocks of symmetric traceless operators of arbitrary spin as an integral over a pair of geodesics in Anti-de Sitter space, generalizing the geodesic Witten diagram formalism of Hijano et al. [
Ethan Dyer, D. Freedman, J. Sully
semanticscholar   +1 more source

Branching Geodesics of the Gromov-Hausdorff Distance

open access: yesAnalysis and Geometry in Metric Spaces, 2022
In this paper, we first evaluate topological distributions of the sets of all doubling spaces, all uniformly disconnected spaces, and all uniformly perfect spaces in the space of all isometry classes of compact metric spaces equipped with the Gromov ...
Ishiki Yoshito
doaj   +1 more source

On Translation Curves and Geodesics in Sol14

open access: yesMathematics, 2023
A translation curve in a homogeneous space is a curve such that for a given unit vector at the origin, translation of this vector is tangent to the curve in its every point.
Zlatko Erjavec, Marcel Maretić
doaj   +1 more source

Geodesic Distance Histogram Feature for Video Segmentation

open access: yes, 2017
This paper proposes a geodesic-distance-based feature that encodes global information for improved video segmentation algorithms. The feature is a joint histogram of intensity and geodesic distances, where the geodesic distances are computed as the ...
A Kundu   +6 more
core   +1 more source

Carroll geodesics

open access: yesThe European Physical Journal C
AbstractUsing 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. The equations of motion descending from this action are the Carrollian pendant of geodesics, allowing surprisingly rich dynamics.
Ciambelli, Luca, Grumiller, Daniel
openaire   +4 more sources

Nakedness and curvature strength of shell-focusing singularity in the spherically symmetric space-time with vanishing radial pressure

open access: yes, 1999
It was recently shown that the metric functions which describe a spherically symmetric space-time with vanishing radial pressure can be explicitly integrated.
Bondi H   +21 more
core   +1 more source

Surfaces Using a Common Geodesic Curve With an Alternative Moving Frame in The 3-Dimensional Lie Group

open access: yesCumhuriyet Science Journal, 2022
Our purpose in this research is to use an alternative moving frame in the 3-dimensional Lie group to construct the problem of how to characterize a surface family and derive the conditions from a given common geodesic curve as an isoparametric curve ...
Zuhal Kucukarslan Yuzbasi
doaj   +1 more source

Constructing a Space from the System of Geodesic Equations

open access: yes, 2007
Given a space it is easy to obtain the system of geodesic equations on it. In this paper the inverse problem of reconstructing the space from the geodesic equations is addressed.
A. Qadir   +15 more
core   +1 more source

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