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Some results on geodesic mappings of Riemannian manifolds satisfying the conditionR.R.=Q(S, R) (1994)

Defever, F. ; Deszcz, R.

Springer

Periodica mathematica Hungarica 29 (1994), S. 267-276

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ISSN: 1588-2829

Keywords: Primary ; 58B20 ; 53C25 ; 53C80 ; Einstein manifolds ; semisymmetric manifolds ; pseudosymmetric manifolds ; warped products ; spacetimes

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: Abstract In this paper geodesically corresponding metricsg and $$\bar g$$ 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 $$\bar R$$ and $$\bar S$$ of $$\bar g$$ not necessarily must satisfy $$\bar R.\bar R = Q(\bar S,\bar R)$$ . Certain relations between the curvatures ofg and $$\bar g$$ are obtained.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01875853

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