Journal
MATHEMATICS
Volume 10, Issue 13, Pages -Publisher
MDPI
DOI: 10.3390/math10132165
Keywords
geodesic mapping; space with affine connections; m-Ricci-symmetric space; Cauchy-type differential equations
Categories
Funding
- Palacky University Olomouc [IGA PrF 2020013]
- Ministry of Education, Youth and Sports under the National Sustainability Programme I of the Brno University of Technology [LO1408]
Ask authors/readers for more resources
In this paper, we investigate geodesic mappings from spaces with affine connections onto generalized 2-, 3-, and m-Ricci-symmetric spaces, and generalize the properties of these mappings.
In this paper, we study geodesic mappings of spaces with affine connections onto generalized 2-, 3-, and m-Ricci-symmetric spaces. In either case, the main equations for the mappings are obtained as a closed system of linear differential equations of the Cauchy type in the covariant derivatives. For the systems, we have found the maximum number of essential parameters on which the solutions depend. These results generalize the properties of geodesic mappings onto symmetric, recurrent, and also 2-, 3-, and m-(Ricci-)symmetric spaces with affine connections.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available
Share Paper
