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

Author

Listed:
  • 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)

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.

Suggested Citation

  • Miloš Z. Petrović & Mića S. Stanković & Patrik Peška, 2019. "On Conformal and Concircular Diffeomorphisms of Eisenhart’s Generalized Riemannian Spaces," Mathematics, MDPI, vol. 7(7), pages 1-10, July.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:7:p:626-:d:248382
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