Geodesic vector fields on a Riemannian manifold

Kód výsledku v IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F20%3A73604202" target="_blank" >RIV/61989592:15310/20:73604202 - isvavai.cz</a>
Výsledek na webu
<a href="https://www.mdpi.com/2227-7390/8/1/137/htm" target="_blank" >https://www.mdpi.com/2227-7390/8/1/137/htm</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.3390/math8010137" target="_blank" >10.3390/math8010137</a>

Jazyk výsledku
angličtina
Název v původním jazyce
Geodesic vector fields on a Riemannian manifold
Popis výsledku v původním jazyce
A geodesic vector field on a Riemannian manifold is a vector field whose integral curves are geodesics, or in otherworlds have zero acceleration. A generalized geodesic vector field on a Riemannian manifold is a smooth vector field with acceleration of each of its integral curves is proportional to velocity. In this paper, we show that the presense of generalized geodesic vector field on a Riemannian manifold influences its geometry. We find characterizations of n-spheres as well as Euclidean spaces using generalized geodesic vector fields.
Název v anglickém jazyce
Geodesic vector fields on a Riemannian manifold
Popis výsledku anglicky
A geodesic vector field on a Riemannian manifold is a vector field whose integral curves are geodesics, or in otherworlds have zero acceleration. A generalized geodesic vector field on a Riemannian manifold is a smooth vector field with acceleration of each of its integral curves is proportional to velocity. In this paper, we show that the presense of generalized geodesic vector field on a Riemannian manifold influences its geometry. We find characterizations of n-spheres as well as Euclidean spaces using generalized geodesic vector fields.

Rok uplatnění
2020
Kód důvěrnosti údajů
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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