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Article

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

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Department of Mathematics and Computer Science, Faculty of Agriculture in Kruševac, University of Niš, Kosančićeva 4, 37000 Kruševac, Serbia
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Department of Mathematics, Faculty of Sciences and Mathematics, Višegradska 33, 18000 Niš, Serbia
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Department of Algebra and Geometry, Faculty of Science, Palacký University, 17. listopadu 1192/12, 771 46 Olomouc, Czech Republic
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Author to whom correspondence should be addressed.
Mathematics 2019, 7(7), 626; https://doi.org/10.3390/math7070626
Received: 13 May 2019 / Revised: 24 June 2019 / Accepted: 10 July 2019 / Published: 15 July 2019
(This article belongs to the Special Issue Differential Geometry of Special Mappings)
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. View Full-Text
Keywords: conformal mapping; Eisenhart’s generalized Riemannian space; Weyl conformal tensor; Yano’s concircular curvature; symmetric space conformal mapping; Eisenhart’s generalized Riemannian space; Weyl conformal tensor; Yano’s concircular curvature; symmetric space
MDPI and ACS Style

Petrović, M.Z.; Stanković, M.S.; Peška, P. On Conformal and Concircular Diffeomorphisms of Eisenhart’s Generalized Riemannian Spaces. Mathematics 2019, 7, 626. https://doi.org/10.3390/math7070626

AMA Style

Petrović MZ, Stanković MS, Peška P. On Conformal and Concircular Diffeomorphisms of Eisenhart’s Generalized Riemannian Spaces. Mathematics. 2019; 7(7):626. https://doi.org/10.3390/math7070626

Chicago/Turabian Style

Petrović, Miloš Z., Mića S. Stanković, and Patrik Peška. 2019. "On Conformal and Concircular Diffeomorphisms of Eisenhart’s Generalized Riemannian Spaces" Mathematics 7, no. 7: 626. https://doi.org/10.3390/math7070626

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