On Conformal and Concircular Diffeomorphisms of Eisenhart’s Generalized Riemannian Spaces

We consider conformal and concircular mappings of Eisenhart’s generalized Riemannian spaces. We prove conformal and concircular invariance of some tensors in Eisenhart’s generalized Riemannian spaces. We give new generalizations of symmetric spaces via Eisenhart’s generalized Riemannian spaces. Fina...

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Bibliographic Details
Published in:Mathematics (Basel) 2019-07, Vol.7 (7), p.626
Main Authors: Petrović, Miloš Z., Stanković, Mića S., Peška, Patrik
Format: Article
Language:English
Subjects:
conformal mapping
Eisenhart’s generalized Riemannian space
Food science
Isomorphism
Mathematical analysis
symmetric space
Tensors
Weyl conformal tensor
Yano’s concircular curvature
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Summary:We consider conformal and concircular mappings of Eisenhart’s generalized Riemannian spaces. We prove conformal and concircular invariance of some tensors in Eisenhart’s generalized Riemannian spaces. We give new generalizations of symmetric spaces via Eisenhart’s generalized Riemannian spaces. Finally, we describe some properties of covariant derivatives of tensors analogous to Yano’s tensor of concircular curvature in Eisenhart symmetric spaces of various kinds.
ISSN:2227-7390
2227-7390
DOI:10.3390/math7070626