Results 241 to 250 of about 3,675 (265)

Galaxy Evolution with Manifold Learning. [PDF]

open access: yesEntropy (Basel)
Takeuchi TT, Cooray S, Kano RR.
europepmc   +1 more source

Geodesic vector fields and Eikonal equation on a Riemannian manifold

Indagationes Mathematicae, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sharief Deshmukh, Anish Khan
exaly   +3 more sources

A totally geodesic property of Hopf vector fields

Acta Mathematica Hungarica, 2003
We prove that the Hopf vector field is unique among geodesic unit vector fields on spheres such that the submanifold generated by the field is totally geodesic in the unit tangent bundle with Sasaki metric. As an application, we give a new proof of stability (instability) of the Hopf vector field with respect to volume variation using standard approach
exaly   +2 more sources

Lorentzian manifolds with causal Killing vector field: causality and geodesic connectedness

Annali Di Matematica Pura Ed Applicata, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Manuel Gutierrez, M Gutierrez
exaly   +2 more sources

On vector field reconstructions for semi-Lagrangian transport methods on geodesic staggered grids

Journal of Computational Physics, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Pedro S Peixoto, Saulo R M Barros
exaly   +3 more sources

Geodesic connectedness of a spacetime with a causal Killing vector field. [PDF]

open access: yes
We study the geodesic connectedness of a globally hyperbolic spacetime (M, g) admitting a complete smooth Cauchy hypersurface S and endowed with a complete causal Killing vector field K. The main assumptions are that the kernel distribution D of the one-form induced by K on S is non-integrable and that the gradient of g(K, K) is orthogonal to D.
Bartolo, Rossella
openaire   +2 more sources

On geodesibility of algebrizable planar vector fields

Boletín de la Sociedad Matemática Mexicana, 2017
The authors consider an algebra \(\mathbb{A}\) as the space \(\mathbb{R}^2\) endowed with a structure of associative, commutative algebra with unit, denoted by \(e\). Three parametric families of non-isomorphic algebras are considered, in particular the algebra of the complex numbers \(\mathbb{C}\) appears. A vector field \(F : \Omega \subset \mathbb{R}
M. E. Frías-Armenta   +1 more
openaire   +2 more sources

Geodesic mappings of spaces with φ(Ric) vector fields

AIP Conference Proceedings, 2020
The paper treats a special type of pseudo-Riemannian spaces, namely those which permit φ(Ric)-vector fields. These spaces are widely applied in mechanics and relativity theory. Authors demonstrated a shape taken by a linear form of basic equations of theory of geodesic mappings for the above-mentioned spaces. These equations take a shape of a system of
Y. Vashpanov, O. Olshevska, O. Lesechko
openaire   +1 more source

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