Results 101 to 110 of about 33,778 (318)
Communications on Pure and Applied Mathematics, EarlyView.Abstract Let (Mn,g)$(M^n,g)$ be a complete Riemannian manifold which is not isometric to Rn$\mathbb {R}^n$, has nonnegative Ricci curvature, Euclidean volume growth, and quadratic Riemann curvature decay. We prove that there exists a set G⊂(0,∞)$\mathcal {G}\subset (0,\infty)$ with density 1 at infinity such that for every V∈G$V\in \mathcal {G}$ there ...
Gioacchino Antonelli +2 more
wiley +1 more source
Closed magnetic geodesics on closed hyperbolic Riemann surfaces [PDF]
, 2010 We prove the existence of Alexandrov embedded closed magnetic geodesics on closed hyperbolic surfaces. Closed magnetic geodesics correspond to closed curves with prescribed geodesic curvature.
arxiv +1 more source
Optimization over geodesics for exact principal geodesic analysis [PDF]
Advances in Computational Mathematics, 2013 Revised version to be published in Advances in Computational ...
Sommer, Stefan Horst +2 more
openaire +4 more sources
Geodesic complexity for non-geodesic spaces [PDF]
arXiv, 2020 We define the notion of near geodesic between points of a metric space when no geodesic exists, and use this to extend Recio-Mitter's notion of geodesic complexity to non-geodesic spaces. This has potential application to topological robotics. We determine explicit near geodesics and geodesic complexity in a variety of cases.
arxiv
Convexity of geodesic-length functions: a reprise [PDF]
arXiv, 2005 New results on the convexity of geodesic-length functions on Teichm\"{u}ller space are presented. A formula for the Hessian of geodesic-length is presented. New bounds for the gradient and Hessian of geodesic-length are described. A relationship of geodesic-length functions to Weil-Petersson distance is described.
arxiv
On geodesic flows with symmetries and closed magnetic geodesics on orbifolds [PDF]
Ergodic Theory and Dynamical Systems, 2018 Let $Q$ be a closed manifold admitting a locally free action of a compact Lie group $G$. In this paper, we study the properties of geodesic flows on $Q$ given by suitable G-invariant Riemannian metrics. In particular, we will be interested in the existence of geodesics that are closed up to the action of some element in the group $G$, since they ...
Asselle, Luca, Schmäschke, Felix
openaire +3 more sources
Research on the Prediction Method of 3D Surface Deformation in Filling Mining Based on InSAR‐IPIM
Energy Science &Engineering, EarlyView.Aiming at a series of defects existing in the monitoring of mining area by InSAR technology, this paper proposes an insar‐ipim model to predict the three‐dimensional surface deformation of filling mining. The parameters of the model are inversed by using the group optimization algorithm slime bacteria algorithm proposed in 2020, and the empirical ...
Meng Wang +8 more
wiley +1 more source
Area bounds for minimal surfaces in geodesic ball of hyperbolic space [PDF]
arXiv, 2016 In hyperbolic space $H^n$ we set a geodesic ball of radius $\rho$. Consider a $k$ dimensional minimal submanifold passing through the origin of the geodesic ball with boundary lies on the boundary of that geodesic ball. We prove that its area is no less than the totally geodesic $k$ dimensional submanifold passing through the origin in that geodesic ...
arxiv
Bloom compression alongside marine heatwaves contemporary with the Oregon upwelling season
Limnology and Oceanography, EarlyView.Abstract Marine heatwave (MHW) events have led to acute decreases in primary production and phytoplankton biomass in the surface ocean, particularly at the mid latitudes. In the Northeast Pacific, these anomalous events have occasionally encroached onto the Oregon shelf during the ecologically important summer upwelling season.
Ian T. Black +2 more
wiley +1 more source
Falling into the Past: Geodesics in a Time Travel Metric
UniverseWe investigate timelike and null geodesics within the rotating “time machine” spacetime proposed by Ralph, T.C.; et al. Phys. Rev. D 2020, 102, 124013. This is a rotating analogue of Alcubierre’s warp drive spacetime.
Colin MacLaurin +2 more
doaj +1 more source