… vectorfield with acceleration of each of its integral curves is proportional to velocity. In this paper, we show that the presence of a geodesicvectorfield on a … using geodesicvectorfields. …
S Deshmukh, VA Khan - Indagationes Mathematicae, 2019 - Elsevier
… the impact of geodesicvectorfields (vectorfields whose trajectories are geodesics) on the … In this paper, we find a characterization for a Killing vectorfield using a geodesicvectorfield (cf…
B Krauskopf, HM Osinga - SIAM Journal on Applied Dynamical Systems, 2003 - SIAM
… In this case the geodesic level sets are topological … geodesic distance from the equilibrium or periodic orbit, and we also show how geodesic level sets change with increasing geodesic …
… We study to what extent vectorfields on Lie groups may be considered as geodesicfields. … on a Lie group, we prove there exists a Riemannian metric whose geodesics are its …
… smooth vectorfields on M n by X ( M n ) and arbitrary smooth vectorfields on M n by X , Y , Z . … An is called a geodesic mapping of A n onto An if f maps any geodesic curve on A n onto a …
Y Vashpanov, O Olshevska, O Lesechko - AIP Conference …, 2020 - pubs.aip.org
… permit ϕ(Ric)- vectorfields. These spaces are widely applied … basic equations of theory of geodesic mappings for the above-… Some geometric properties of the described vectorfields are …
VS Matveev - arXiv preprint arXiv:2405.09604, 2024 - arxiv.org
… , denote the geodesicvectorfield by v, … geodesicvectorfield v is necessary transversal to it. Arguing by the method of contradiction, assume there exists a point where the vectorfield …
… Our system combines basis vectorfields to make an initial vectorfield that meets user … vectorfields on curved surfaces represented as meshes, we make use of the ideas of geodesic …
… a Killing vectorfield is a generalized geodesicvectorfield, … geodesicvectorfields that are not Killing vectorfields, we refer … vectorfield ξ to be a generalized geodesicvectorfield and …