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Galaxy Evolution with Manifold Learning. [PDF]

Entropy (Basel)
Takeuchi TT, Cooray S, Kano RR.
europepmc   +1 more source

VisualRNet: Lightweight Camera Rotation Estimation from Low-Resolution Optical Flow via Cross-Modal Supervision. [PDF]

Sensors (Basel)
Yang X, Wang H, Ni J.
europepmc   +1 more source

Polynomial Regression on Lie Groups and Application to SE(3). [PDF]

Entropy (Basel)
Aubray J, Nicol F.
europepmc   +1 more source

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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, Viqar Azam 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.
M Gutierrez
exaly   +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, E. López-González   +1 more
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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
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On geodesible vector fields and related geometric structures [PDF]

, 2023
A nowhere vanishing vector field X on a manifold M is called geodesible if there exists a Riemannian metric on M for which X is of unit length and such that the orbits of X are geodesics. After discussing some examples of such vector fields, we extend an existence result of Gluck and Hajduk--Walczak about geodesible vector fields on odd-dimensional ...
openaire  

Geodesic spheres and Jacobi vector fields on Sasakian space forms

Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1987
SynopsisUsing explicit equations for Jacobi vector fields on a Sasakian space form, we characterise such spaces by means of the shape operator of small geodesic spheres.
Blair, David E., Vanhecke, Lieven
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