Acta mathematica scientia,Series B ›› 2002, Vol. 22 ›› Issue (3): 346-358.

• Articles • Previous Articles     Next Articles

ON PSEUDOSYMMETRY TYPE HYPERSURFACES OF SEMI-EUCLIDEAN SPACES I

 Kadri Arslan, Ryszard Deszcz, Ridvan Ezentas., Cengizhan Murathan, Cihan Ozgur   

  1. Department of Mathematics, Uludaˇg University, Campus of G¨or¨ukle, 16059 BURSA, TURKEY

    Department of Mathematics, Agricultural University of Wroc law, ul. Grunwaldzka 53,50-357 WROC LAW, POLAND

    Department of Mathematics, Uludaˇg University, Campus of G¨or¨ukle, 16059 BURSA, TURKEY
  • Online:2002-07-15 Published:2002-07-15
  • Supported by:

    Research supported by a grant of the Uludaˇg University in Bursa (Turkey) and the grant 234 GW 2000 of the Agricultural University of Wroc law (Poland) for the second named author.

Abstract:

In this paper the authors investigate hypersurfaces M of a semi-Euclidean space En+1 s , n  4, satisfying ( C + R) · H = LkQ(g,Hk), k = 1, 2, 3. Using obtained results they show additional curvature properties of investigated hypersurfaces

Key words: pseudosymmetry type manifold, Ricci-semisymmetric manifold, semisymmetric manifold, hypersurface

CLC Number: 

  • 53B20
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