Results 51 to 60 of about 138,211 (374)
The index growth and multiplicity of closed geodesics [PDF]
, 2010 In the recent paper \cite{LoD1}, we classified closed geodesics on Finsler manifolds into rational and irrational two families, and gave a complete understanding on the index growth properties of iterates of rational closed geodesics.
Duan, Huagui, Long, Yiming
core +2 more sources
A note on geodesics in the Hayward metric [PDF]
, 2017 We study timelike and null geodesics in a non-singular black hole metric proposed by Hayward. The metric contains an additional length-scale parameter $\ell$ and approaches the Schwarzschild metric at large radii while approaches a constant at small ...
T. Chiba, M. Kimura
semanticscholar +1 more source
Algorithms for geodesics [PDF]
Journal of Geodesy, 2012 LaTex, 12 pages, 8 figures. Version 2 corrects some errors and adds numerical examples.
openaire +3 more sources
Simple Closed Quasigeodesics on Tetrahedra
Information, 2022 Pogorelov proved in 1949 that every convex polyhedron has at least three simple closed quasigeodesics. Whereas a geodesic has exactly a π surface angle to either side at each point, a quasigeodesic has at most a π surface angle to either side at each ...
Joseph O’Rourke, Costin Vîlcu
doaj +1 more source
The shadow of a Thurston geodesic to the curve graph [PDF]
, 2015 We study the geometry of the Thurston metric on Teichmuller space by examining its geodesics and comparing them to Teichmuller geodesics. We show that, similar to a Teichmuller geodesic, the shadow of a Thurston geodesic to the curve graph is a ...
Lenzhen, Anna, Rafi, Kasra, Tao, Jing
core +3 more sources
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
doaj +1 more source
On geodesics in low regularity [PDF]
, 2017 We consider geodesics in both Riemannian and Lorentzian manifolds with metrics of low regularity. We discuss existence of extremal curves for continuous metrics and present several old and new examples that highlight their subtle interrelation with ...
Clemens Sämann, R. Steinbauer
semanticscholar +1 more source
A PDE Approach to Data-Driven Sub-Riemannian Geodesics in SE(2) [PDF]
SIAM Journal of Imaging Sciences, 2015 We present a new flexible wavefront propagation algorithm for the boundary value problem for sub-Riemannian (SR) geodesics in the roto-translation group $SE(2) = \mathbb{R}^2 \rtimes S^1$ with a metric tensor depending on a smooth external cost $\mathcal{
E. Bekkers +3 more
semanticscholar +1 more source
Understanding the Drivers of Coastal Flood Exposure and Risk From 1860 to 2100
Earth's Future, Volume 10, Issue 12, December 2022., 2022 Abstract Global coastal flood exposure (population and assets) has been growing since the beginning of the industrial age and is likely to continue to grow through 21st century. Three main drivers are responsible: (a) climate‐related mean sea‐level change, (b) vertical land movement contributing to relative sea‐level rise, and (c) socio‐economic ...
Daniel Lincke +3 more
wiley +1 more source
The geodesic-transversal problem [PDF]
arXiv, 2021 A maximal geodesic in a graph is a geodesic (alias shortest path) which is not a subpath of a longer geodesic. The geodesic-transversal problem in a graph $G$ is introduced as the task to find a smallest set $S$ of vertices of $G$ such that each maximal geodesic has at least one vertex in $S$.
arxiv