A note on geodesic vector fields

S Deshmukh, J Mikeš, NB Turki, GE Vîlcu - Mathematics, 2020 - mdpi.com
… (2) that a concircular vector field is a geodesic vector field. Let v be a geodesic vector field on
a … Note that v being a non-trivial geodesic vector field, we have the constant c ≠ 0 . Now, in …

Geodesic vector fields on a Riemannian manifold

S Deshmukh, P Peska, N Bin Turki - Mathematics, 2020 - mdpi.com
vector field with acceleration of each of its integral curves is proportional to velocity. In this
paper, we show that the presence of a geodesic vector field on a … using geodesic vector fields. …

[HTML][HTML] Geodesic vector fields and Eikonal equation on a Riemannian manifold

S Deshmukh, VA Khan - Indagationes Mathematicae, 2019 - Elsevier
… the impact of geodesic vector fields (vector fields whose trajectories are geodesics) on the …
In this paper, we find a characterization for a Killing vector field using a geodesic vector field (cf…

Computing geodesic level sets on global (un) stable manifolds of vector fields

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

Vector fields dynamics as geodesic motion on Lie groups

GT Pripoae - Comptes Rendus Mathematique, 2006 - Elsevier
… We study to what extent vector fields on Lie groups may be considered as geodesic fields. …
on a Lie group, we prove there exists a Riemannian metric whose geodesics are its …

Geodesic Mappings of Vn(K)-Spaces and Concircular Vector Fields

IG Shandra, J Mikeš - Mathematics, 2019 - mdpi.com
… smooth vector fields on M n by X ( M n ) and arbitrary smooth vector fields 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 …

Geodesic mappings of spaces with φ (Ric) vector fields

Y Vashpanov, O Olshevska, O Lesechko - AIP Conference …, 2020 - pubs.aip.org
… permit ϕ(Ric)- vector fields. These spaces are widely applied … basic equations of theory of
geodesic mappings for the above-… Some geometric properties of the described vector fields are …

[PDF][PDF] On the existence of geodesic vector fields on closed surfaces

VS Matveev - arXiv preprint arXiv:2405.09604, 2024 - arxiv.org
… , denote the geodesic vector field by v, … geodesic vector field v is necessary transversal
to it. Arguing by the method of contradiction, assume there exists a point where the vector field

Vector field design on surfaces

E Zhang, K Mischaikow, G Turk - ACM Transactions on Graphics (ToG), 2006 - dl.acm.org
… Our system combines basis vector fields to make an initial vector field that meets user …
vector fields on curved surfaces represented as meshes, we make use of the ideas of geodesic

A note on solitons with generalized geodesic vector field

AM Blaga, A Ishan, S Deshmukh - Symmetry, 2021 - mdpi.com
… a Killing vector field is a generalized geodesic vector field, … geodesic vector fields that are
not Killing vector fields, we refer … vector field ξ to be a generalized geodesic vector field and …