Some results on geodesic mappings of Riemannian manifolds satisfying the conditionR.R.=Q(S,R) |
| |
| Authors: | F Defever R Deszcz |
| |
| Institution: | (1) Instituut voor Theoretische Fysica, Afdeling Algebra en Topologie, Celestijnenlaan 200 B/D, B-3001 Leuven, Belgium;(2) Department of Mathematics, Agricultural University of Wro aw, Ulica C. Norwida 25, 50-375 Wrocaw, Poland |
| |
| Abstract: | In this paper geodesically corresponding metricsg and
on a manifoldM, dim  5, under the assumption that the tensorsR andS of the metricg satisfyR.R=Q(S, R), are considered. It is stated that the corresponding tensors
and
of
not necessarily must satisfy
. Certain relations between the curvatures ofg and
are obtained.Supported by a post-doctoral fellowship of the researchcouncil of the KU Leuven; Bitnet FGBDA3O at BLEKUL11 |
| |
| Keywords: | Primary 58B20 53C25 53C80 |
| 本文献已被 SpringerLink 等数据库收录！ |
|
