On F-2(epsilon)-Planar Mappings with Function epsilon of (pseudo-) Riemannian Manifolds

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F70883521%3A28140%2F17%3A63517859" target="_blank" >RIV/70883521:28140/17:63517859 - isvavai.cz</a>
Result on the web
<a href="http://apps.webofknowledge.com/full_record.do?product=WOS&search_mode=GeneralSearch&qid=24&SID=C3PbEOP8IgN87hjHTeB&page=1&doc=1" target="_blank" >http://apps.webofknowledge.com/full_record.do?product=WOS&search_mode=GeneralSearch&qid=24&SID=C3PbEOP8IgN87hjHTeB&page=1&doc=1</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.2298/FIL1709683C" target="_blank" >10.2298/FIL1709683C</a>

Result language
angličtina
Original language name
On F-2(epsilon)-Planar Mappings with Function epsilon of (pseudo-) Riemannian Manifolds
Original language description
In this paper we study special mappings between n-dimensional (pseudo-) Riemannian manifolds. In 2003 Topalov introduced PQ(epsilon)-projectivity of Riemannian metrics, with constant epsilon not equal 0,1 + n. These mappings were studied later by Matveev and Rosemann and they found that for epsilon = 0 they are projective. These mappings could be generalized for case, when epsilon will be a function on manifold. We show that PQ(epsilon)-projective equivalence with epsilon is a function corresponds to a special case of F-planar mapping, studied by Mikes and Sinyukov (1983) with Gamma = Q. Moreover, the tensor P is derived from the tensor Q and non-zero function epsilon.
Czech name
—
Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/EE2.3.30.0035" target="_blank" >EE2.3.30.0035: Development of Human Resources in Scientific and Research Activities at Tomas Bata University in Zlin</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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