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2014, vol. 18, br. 1, str. 21-28
Properties of the quasi-conformal curvature tensor of Kähler-Norden manifolds
(naslov ne postoji na srpskom)
aDepartment of Pure Mathematics, University of Calcutta, Kolkata, West Bengal, India
bDepartment of Mathematics, University of North Bengal, Raja Rammohunpur, Darjeeling Pin, West Bengal, India

e-adresauc_de@yahoo.com, mpradipmajhi@gmail.com
Ključne reči: Kähler-Norden manifold; quasi-conformally flat; parallel quasi-conformal curvature tensor and quasi-conformally semisymmetric
Sažetak
(ne postoji na srpskom)
The object of the present paper is to study quasi-conformally flat and parallel quasi-conformal curvature tensor of a Kähler-Norden manifold. Besides this we also study quasi-conformally semisymetric Kähler-Norden manifolds. Finally, we mention an example to verify a Theorem of our paper.
Reference
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Borowiec, A., Francaviglia, M., Volovich, I. (2000) Anti-Kählerian manifolds. Differential Geometry and its Applications, 12(3): 281-289
Eisenhart, L.P. (1949) Riemannian Geometry. Princeton University Press
Ganchev, G.T., Borisov, A.V. (1986) Note on the almost complex manifolds with Norden metric. Compt. Rend. Acad. Bulg. Sci., 31-34; 39
Hotloś, M. (1995) On holomorphically pseudosymmetric Kählerian manifolds. u: Geometry and Topology of Submanifolds, River Edge, N.J: World Sci. Publishing, VII, pp. 139-142
Hotloś, M. (1979) On a certain class of Kählerian manifolds. Demonstr. Math., 935-945; 12
Olszak, Z. (1989) Bochner flat Kählerian manifolds with a certain condition on the Ricci tensor. Simon Stevin, 295-303; 63
Prvanović, M. Holomorphically projective mappings onto semisymmetric anti-Kähler manifolds. to appear
Sluka, K. (2000) Properties of the Weyl conformal curvature of Kähler-Norden manifolds. u: Steps in Diff. Geom. Proc. of the Coll. on Diff. Geom. Debrecen, Hungary
Sluka, K. (2001) On Kähler manifolds with Norden metrics. An. Sÿtiint. Univ. ŤAl. I. CuzaŤ Iasi, Tomul XLVII, 105-112, S.I.A. Mathematică
Yano, K. (1965) Differential geometry of complex and almost complex spaces. Oxford-New York, itd: Pergamon Press
Yano, K., Sawaki, S. (1968) Riemannian manifolds admitting a conformal transformation group. Journal of Differential Geometry, 2(2): 161-184
 

O članku

jezik rada: engleski
vrsta rada: neklasifikovan
DOI: 10.5937/MatMor1401021C
objavljen u SCIndeksu: 25.03.2017.

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