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