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

Miloš Z. Petrović, Mića S. Stanković and Patrik Peška
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Miloš Z. Petrović: Department of Mathematics and Computer Science, Faculty of Agriculture in Kruševac, University of Niš, Kosančićeva 4, 37000 Kruševac, Serbia
Mića S. Stanković: Department of Mathematics, Faculty of Sciences and Mathematics, Višegradska 33, 18000 Niš, Serbia
Patrik Peška: Department of Algebra and Geometry, Faculty of Science, Palacký University, 17. listopadu 1192/12, 771 46 Olomouc, Czech Republic

Mathematics, 2019, vol. 7, issue 7, 1-10

Abstract: 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.

Keywords: conformal mapping; Eisenhart’s generalized Riemannian space; Weyl conformal tensor; Yano’s concircular curvature; symmetric space (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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