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ON FOUR-DIMENSIONAL SEMI-DECOMP SABLE RIEMANNIAN SPACES

Journal Name:

  • İstanbul Üniversitesi Fen Fakültesi Matematik, Fizik ve Astronomi Dergisi

Publication Year:

  • 1998-1999
Author NameUniversity of Author
Abstract (2. Language): 
The object of the present paper is to study semi-decomposable semi-symmetric and Weyl-semi-symmetric Riemannian spaces.
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FULL TEXT (PDF): 
PDF icon arastrmx_190866_57-58_pp_89-97.pdf
89-97
  • English

REFERENCES

References: 

[1] DESZCZ, R. : On four-dimensional Riemannian warped product manifolds satisfying certain pseudo-symmetry curvature conditions. Colloquium Mathematicum LXIi (1991), Fasc. \, 103¬120.
[2] VENZI, P. : On concircular mappings in Riemannian and pseudo-Riemannian manifold with symmetry conditions, Tensor, N.S. Vol. 33(1979), 109-113.
[3] GRYCAK, W. : Riemannian manifolds with a symmetry condition imposed on the second derivative of the conformai curvature tensor, Tensor, N.S. 46(1987), 287-290.
REFERENCE
[4] DERDZIN/SKI. A. : Exemples de me'triques de kachler et d Einstein autoduales sur be plan complexe, in : Ge'ome'trie riemannienne en dimension 4 (se'minire Arthur Besse 1987/79), Cedic/Fernand Nathan, Paris 1981, 334-346.
[5] GRYCAK, W AND FIOTLOS, M. : On the existence of certain types of Riemannian metric, Colloquium Mathematicum XLVII (19682) 31-37.
[6] KRUCKOVIC, G. I. : Ob odnoj klasse rimanovych prostranstv, Trody seminara provectornomuj tensornomu analizu. Wyp. XI (1961), 103-128.
[7] FICKN, F. A. The Riemannian and Affine Differential Geometry of Product-spaces, Annals of math. , 40(1939), 892-913.
[8] GRYCAK W. : On semi-decomposable 2-recurrent Riemannian spaces. Pr. Nauk Inst. Math. Pol. Wr. 16(1976), 15-25.

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