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On some pseudosymmetry type hypersurfaces of semi-Euclidean spaces

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Języki publikacji
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Abstrakty
EN
We consider hypersurfaces of a semi-Euclidean spaces satisfying some curvature condition of pseudosymmetry type related to solutions of the P.J. Ryan problem of the equivalence of semisymmetry and Ricci-semisymmetry on hypersurfaces.
Wydawca
Rocznik
Strony
971--984
Opis fizyczny
Bibliogr. 26 poz.
Twórcy
autor
  • Department of Mathematics, Uludağ University, Campus of Görükle, 16059 Bursa, Turkey
autor
  • Department of Mathematics, Agricultural University of Wrocław, Grunwaldzka 53, 50-357 Wrocław, Poland
autor
  • Department of Mathematics, Uludağ University, Campus of Görükle, 16059 Bursa, Turkey
autor
  • Department of Mathematics, Uludağ University, Campus of Görükle, 16059 Bursa, Turkey
autor
  • Department of Mathematics, Uludağ University, Campus of Görükle, 16059 Bursa, Turkey
Bibliografia
  • [1] B. E. Abdalla, F. Dillen, A Ricci-semi-symmetric hypersurface of the Euclidean space which is not semi-symmetric, Proc. Amer. Math. Soc. 130 (2002), 1805-1808.
  • [2] K. Arslan, R. Deszcz, and R. Ezentas, On a certain subclass of hypersurfaces in semi-Euclidean spaces, Soochow J. Math. 25 (1999), 221-234.
  • [3] K. Arslan, R. Deszcz, R. Ezentas, C. M u r a t h a n , and C. Özgür, On peudosymmetry type hypersurfaces of semi-Euclidean spaces I, Acta Math. Sci. 22 B (2002), 346-358.
  • [4] K. Arslan, R. Deszcz, and S. Yaprak, On Weyl pseudosymmetric hypersurfaces, Colloq. Math. 72 (1997), 353-361.
  • [5] M. Belkhelfa, R. Deszcz, M. Głogowska, M. Hotloś, D. Kowalczyk, and L. Verstraelen, A review on pseudosymmetry type manifolds, in: Banach Center Publ. 57, Inst. Math. Polish Acad. Sci., 2002, 179-194.
  • [6] R. Deszcz, On pseudosymmetric spaces, Bull. Soc. Belg. Math., Ser. A, 44 (1992), 1-34.
  • [7] R. Deszcz, On certain classes of hypersurfaces in spaces of constant curvature, in: Geometry and Topology of Submanifolds, VIII, World Sci., River Edge, NJ, 1996, 101-110.
  • [8] R. Deszcz, M. Głogowska, Examples of nonsemisymmetric Ricci-semisymmetric hypersurfaces, Colloq. Math. 94 (2002), 87-101.
  • [9] R. Deszcz, M. Głogowska, Some nonsemisymmetric Ricci-semisymmetric warped product hypersurfaces, Publ. Inst. Math. (Beograd) (N.S.) 72(86) (2002), 81-94.
  • [10] R. Deszcz, M. Głogowska, M. Hotloś, D. Kowalczyk, and L. Verstraelen, A review on pseudosymmetry type manifolds, Dept. Math., Agricultural Univ. Wroclaw, Ser. A, Theory and Methods, Report No. 84, 2000.
  • [11] R. Deszcz, M. Głogowska, M. Hotloś, and Z. Sentürk, On certain quasi-Einstein semisymmetric hypersurfaces, Ann. Univ. Sci. Budapest. Eötvös Sect. Math. 41 (1998), 151-164.
  • [12] R. Deszcz, M. Głogowska, M. Hotloś, and L. Verstraelen, On some generalized Einstein metric conditions on hypersurfaces in semi-Riemannian space forms, Colloq. Math. 96 (2003), 149-166.
  • [13] R. Deszcz, M. Hotloś, On a certain extension of the class of semisymmetric manifolds, Publ. Inst. Math. (Beograd) (N.S.) 63(77) (1998), 115-130.
  • [14] R. Deszcz, M. Hotloś, and Z. Sentürk, On curvature properties of quasi-Einstein hypersurfaces in semi-Euclidean spaces, Soochow J. Math. 27 (2001), 375-389.
  • [15] R. Deszcz, M. Hotloś, and Z. Sentürk, Quasi-Einstein hypersurfaces in semi-Riemannian space forms, Colloq. Math. 89 (2001), 81-97.
  • [16] R. Deszcz, M. Kucharski, On a certain curvature property of generalized Robertson-Walker spacetimes, Tsukuba J. Math. 23 (1999), 113-130.
  • [17] R. Deszcz, K. Sawicz, On a class of hypersurfaces in semi-Euclidean spaces, to appear.
  • [18] R. Deszcz, L. Verstraelen, Hypersurfaces of semi-Riemannian conformally flat manifolds, in: Geometry and Topology of Submanifolds, III, World Sci., River Edge, NJ, 1990, 131-147.
  • [19] R. Deszcz, L. Verstraelen, and S. Yaprak, Hypersurfaces with pseudosymmetric Weyl tensor in conformally flat manifolds, in: Geometry and Topology of Submanifolds, IX, World Sci., River Edge, NJ, 1999, 108-117.
  • [20] R. Deszcz, S. Yaprak, Curvature properties of Cartan hypersurfaces, Colloq. Math. 67 (1994), 91-98.
  • [21] M. Głogowska, Semi-Riemannian manifolds whose Weyl tensor is a Kulkarni-Nomizu square, Publ. Inst. Math. (Beograd) (N.S.) 72(86) (2002), 95-106.
  • [22] B. M. Haddow, Characterization of Riemann tensors using Ricci-type equations, J. Math. Physics 35 (1994), 3587-3593.
  • [23] D. Kowalczyk, On semi-Riemannian manifolds satisfying some curvature condition, Soochow J. Math. 27 (2001), 445-461.
  • [24] V. A. Mirzoyan, Classification of Ric-semiparallel hypersurfaces in Euclidean spaces, Sbornik Math. 191 (2000), 1323-1338.
  • [25] C. Murathan, K. Arslan, R. Deszcz, R. Ezentas, and C. Özgür, On some class of hypersurfaces of semi-Euclidean spaces, Publ. Math. Debrecen 58 (2001), 587-604.
  • [26] P. J. Ryan, A class of complex hypersurfaces, Colloq. Math. 26 (1972), 175-182.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-PWA3-0008-0020
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