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Basic equations of G-almost geodesic mappings of the second type, which have the property of reciprocity

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Abstract

We study G-almost geodesic mappings of the second type \(\mathop {{\pi _2}}\limits_\theta (e),\theta = 1,2\), θ = 1,2 between non-symmetric affine connection spaces. These mappings are a generalization of the second type almost geodesic mappings defined by N. S. Sinyukov (1979). We investigate a special type of these mappings in this paper. We also consider e-structures that generate mappings of type \(\mathop {{\pi _2}}\limits_\theta (e),\theta = 1,2\), θ = 1,2. For a mapping \(\mathop {{\pi _2}}\limits_\theta (e,F),\theta = 1,2\), θ = 1,2, we determine the basic equations which generate them.

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Authors and Affiliations

  1. Faculty of Sciences and Mathematics, University of Niš, Višegradska 33, 18000, Niš, Serbia

    Mića S. Stanković, Milan L. Zlatanović & Nenad O. Vesić

Authors
  1. Mića S. Stanković
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  2. Milan L. Zlatanović
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  3. Nenad O. Vesić
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Correspondence to Mića S. Stanković.

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Research supported by Ministry of Education, Science and Technological Development, Republic of Serbia, Grant No. 174012.

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Stanković, M.S., Zlatanović, M.L. & Vesić, N.O. Basic equations of G-almost geodesic mappings of the second type, which have the property of reciprocity. Czech Math J 65, 787–799 (2015). https://doi.org/10.1007/s10587-015-0208-z

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