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On generalized recurrent Riemannian manifolds

Arslan, K.; De, U. C.; Murathan, C.; Yildiz, A.


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{
  "DOI": "10.1007/s10474-008-8049-y", 
  "abstract": "The object of the present paper is to study a type of Riemannian manifolds called generalized recurrent manifolds. We have constructed two concrete examples of such a manifold whose scalar curvature is non-zero non-constant. Some other properties have been considered. Among others it is shown that on a generalized recurrent manifold with constant scalar curvature, Weyl-semisymmetry and semisymmetry are equivalent. Sufficient condition for a generalized recurrent manifold to be a special quasi Einstein manifold is obtained.", 
  "author": [
    {
      "family": "Arslan", 
      "given": " K."
    }, 
    {
      "family": "De", 
      "given": " U. C."
    }, 
    {
      "family": "Murathan", 
      "given": " C."
    }, 
    {
      "family": "Yildiz", 
      "given": " A."
    }
  ], 
  "container_title": "ACTA MATHEMATICA HUNGARICA", 
  "id": "38179", 
  "issue": "1-2", 
  "issued": {
    "date-parts": [
      [
        2009, 
        1, 
        1
      ]
    ]
  }, 
  "page": "27-39", 
  "title": "On generalized recurrent Riemannian manifolds", 
  "type": "article-journal", 
  "volume": "123"
}
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