Results 311 to 320 of about 130,788 (348)

Geodesics

A Mathematical Introduction to General Relativity, 2016
. We study the behaviour of geodesics on a Riemannian manifold near a generalized conical or cuspidal singularity. We show that geodesics entering a small neighbourhood of the singularity either hit the singularity or approach it to a smallest distance δ
Yiyang Liu
semanticscholar   +3 more sources

Geodesics and Almost Geodesics Curves

Results in Mathematics, 2018
An \textit{almost geodesic} of an affine connection \(\nabla\) on a manifold is a curve \(x(t)\) in the manifold so that \[ \nabla^2_{\dot{x}}\dot{x}=a\nabla_{\dot{x}} \dot{x}+b\dot{x}, \] for some real-valued continuous functions \(a(t)\), \(b(t)\).
Olga Belova, Josef Mikeš, Karl Strambach   +2 more
openaire   +2 more sources

Moment Maps, Nonlinear PDE and Stability in Mirror Symmetry, I: Geodesics

Annals of PDE, 2018
In this paper, the first in a series, we study the deformed Hermitian–Yang–Mills (dHYM) equation from the variational point of view as an infinite dimensional GIT problem.
Tristan C. Collins, S. Yau
semanticscholar   +1 more source

Convergence rates for empirical barycenters in metric spaces: curvature, convexity and extendable geodesics

Probability theory and related fields, 2018
This paper provides rates of convergence for empirical (generalised) barycenters on compact geodesic metric spaces under general conditions using empirical processes techniques.
A. Ahidar-Coutrix, Thibaut Le Gouic, Q. Paris   +2 more
semanticscholar   +1 more source

GEODESICS OF THE SIERPINSKI GASKET

Fractals, 2018
In this paper, we examine the number of geodesics between two points of the Sierpinski Gasket ([Formula: see text]) via code representations of the points and as a main result we show that the maximum number of geodesics between different two points with
M. Saltan, Y. Özdemir, B. Demir
semanticscholar   +1 more source

Geodesic compatibility and integrability of geodesic flows

Journal of Mathematical Physics, 2003
We give a natural geometric condition called geodesic compatibility that implies the existence of integrals in involution of the geodesic flow of a pseudo-Riemannian metric. We prove that if two metrics satisfy the condition of geodesic compatibility then we can produce a hierarchy of metrics that also satisfy this condition. A lot of metrics studed in
openaire   +1 more source

Riemannian Manifolds and Homogeneous Geodesics

, 2020
V. Berestovskii, Yu. G. Nikonorov
semanticscholar   +1 more source

Geodesics

2023
David Xianfeng Gu, Emil Saucan
  +4 more sources

Effect of quintessence on geodesics and Hawking radiation of Schwarzschild black hole

, 2020
A. Al-Badawi, Sara Kanzi, I. Sakalli
semanticscholar   +1 more source

A Tour of Subriemannian Geometries, Their Geodesics and Applications

, 2006
R. Montgomery
semanticscholar   +1 more source