Diffeomorphism of affine connected spaces which preserved Riemannian and Ricci curvature tensors

Kód výsledku v IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F17%3A73583831" target="_blank" >RIV/61989592:15310/17:73583831 - isvavai.cz</a>
Výsledek na webu
<a href="http://mat76.mat.uni-miskolc.hu/mnotes/download_article/1978.pdf" target="_blank" >http://mat76.mat.uni-miskolc.hu/mnotes/download_article/1978.pdf</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.18514/MMN.2017.1978" target="_blank" >10.18514/MMN.2017.1978</a>

Jazyk výsledku
angličtina
Název v původním jazyce
Diffeomorphism of affine connected spaces which preserved Riemannian and Ricci curvature tensors
Popis výsledku v původním jazyce
In this paper we study the preserving of Riemannian and Ricci tensors with respect to a diffeomorphism of spaces with affine connection. We consider geodesic and almost geodesic mappings of the first type. The basic equations of these maps form a closed system of Cauchy type in covariant derivatives. We determine the quantity of essential (substantial) parameters on which the general solution of this problem depends.
Název v anglickém jazyce
Diffeomorphism of affine connected spaces which preserved Riemannian and Ricci curvature tensors
Popis výsledku anglicky
In this paper we study the preserving of Riemannian and Ricci tensors with respect to a diffeomorphism of spaces with affine connection. We consider geodesic and almost geodesic mappings of the first type. The basic equations of these maps form a closed system of Cauchy type in covariant derivatives. We determine the quantity of essential (substantial) parameters on which the general solution of this problem depends.

Rok uplatnění
2017
Kód důvěrnosti údajů
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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