Back to Search
Start Over
Conformal and Geodesic Mappings onto Some Special Spaces.
- Source :
- Mathematics (2227-7390); Aug2019, Vol. 7 Issue 8, p664-664, 1p
- Publication Year :
- 2019
-
Abstract
- In this paper, we consider conformal mappings of Riemannian spaces onto Ricci-2-symmetric Riemannian spaces and geodesic mappings of spaces with affine connections onto Ricci-2-symmetric spaces. The main equations for the mappings are obtained as a closed system of Cauchy-type differential equations in covariant derivatives. We find the number of essential parameters which the solution of the system depends on. A similar approach was applied for the case of conformal mappings of Riemannian spaces onto Ricci-m-symmetric Riemannian spaces, as well as geodesic mappings of spaces with affine connections onto Ricci-m-symmetric spaces. [ABSTRACT FROM AUTHOR]
- Subjects :
- GEODESIC spaces
RIEMANNIAN manifolds
DIFFERENTIAL equations
SPACE
EQUATIONS
GEODESICS
Subjects
Details
- Language :
- English
- ISSN :
- 22277390
- Volume :
- 7
- Issue :
- 8
- Database :
- Complementary Index
- Journal :
- Mathematics (2227-7390)
- Publication Type :
- Academic Journal
- Accession number :
- 138997187
- Full Text :
- https://doi.org/10.3390/math7080664