Results 61 to 70 of about 138,211 (374)
A note on Carnot geodesics in nilpotent Lie groups [PDF]
We show that strictly abnormal geodesics arise in graded nilpotent Lie groups. We construct such a group, for which some Carnot geodesics are strictly abnormal; in fact, they are not normal in any subgroup.
Golé, Christopher, Karidi, Ron
core +5 more sources
We describe, in an intrinsic way and using the global chart provided by Ito's parallel transport, a generalisation of the notion of geodesic (as critical path of an energy functional) to diffusion processes on Riemannian manifolds. These stochastic processes are no longer smooth paths but they are still critical points of a regularised stochastic ...
Cruzeiro, Ana Bela+1 more
openaire +2 more sources
Abstract Extreme precipitation events may cause flooding, slope failure, erosion, deposition, and damage to infrastructure over a regional scale, but the impacts of these events are often difficult to fully characterize. Regional‐scale landscape change occurred during an extreme rain event in June 2012 in northeastern Minnesota.
S. B. DeLong+7 more
wiley +1 more source
In shape analysis, the interpolation of shapes’ trajectories is often performed by means of geodesics in an appropriate Riemannian Shape Space. Over the past several decades, different metrics and shape spaces have been proposed, including Kendall shape ...
Valerio Varano+5 more
doaj +1 more source
Characterization of Gromov-type geodesics [PDF]
The collection $\mathcal{M}$ of all isometry classes of compact metric spaces endowed with the Gromov-Hausdorff distance $d_\mathcal{GH}$ is known to be a geodesic space. However, there is no known structural characterization of geodesics in $\mathcal{M}$. In this paper we provide two such characterizations.
arxiv
Geodesics in supersymmetric microstate geometries [PDF]
It has been argued that supersymmetric microstate geometries are classically unstable. One argument for instability involves considering the motion of a massive particle near the ergosurface of such a spacetime.
Felicity C. Eperon
semanticscholar +1 more source
Abstract The boundary between the Northern Andean block and the South American plate is a first‐order tectonic structure in Colombia with historically M > 7 earthquakes. However, details about individual sections of the system remain unknown. We illuminate the seismotectonic of the Algeciras fault by investigating an earthquake sequence that started on
Esteban Poveda+6 more
wiley +1 more source
Explicit Geodesics in Gromov-Hausdorff Space [PDF]
We provide an alternative, constructive proof that the collection $\mathcal{M}$ of isometry classes of compact metric spaces endowed with the Gromov-Hausdorff distance is a geodesic space. The core of our proof is a construction of explicit geodesics on $
Samir Chowdhury, Facundo M'emoli
semanticscholar +1 more source
Abstract Anthropogenic greenhouse gas emissions are causing unprecedented changes to the climate. In 2015, at the United Nations (UN) Conference of the Parties in Paris, France, countries agreed to limit the global mean temperature (GMT) increase to 2°C above preindustrial levels, and to pursue efforts to limit warming to 1.5°C.
S. Sadai+3 more
wiley +1 more source
The Jacobi metric for timelike geodesics in static spacetimes [PDF]
It is shown that the free motion of massive particles moving in static spacetimes is given by the geodesics of an energy-dependent Riemannian metric on the spatial sections analogous to Jacobi's metric in classical dynamics.
G. Gibbons
semanticscholar +1 more source