On ricci-pseudosymmetric hypersurfaces in spaces of constant curvature
Filip Defever , Ryszard Deszcz , Paul Dhooghe , Sahnur Yaprak , Leopold Verstraelen
AbstractThis article studies the conditions of pseudosymmetry and Ricci-pseudosymmetry, realizedon hypersurfaces of semi-Riemannian spaces of constant curvature. In particular, we derive extrinsic characterizations of pseudosymmetric and Ricci-pseudosymmetric hypersurfaces of semi-Riemannian spaces of constant curvature in terms of the shape operator. As an application, and in the Riemannian case, we extend a theorem by K. Nomizu on semisymmetric hypersurfaces of Euclidean spaces.
|Journal series||Results in Mathematics, ISSN 1422-6383, e-ISSN 1420-9012, (A 100 pkt)|
|Publication size in sheets||0.5|
|Keywords in English||53B20; 53B30; 53B50; 53C25; 53C35; 53C80; hypersurfaces; pseudosymmetric manifolds; semisymmetric manifolds|
|Publication indicators||= 23; : 2007 = 0.51; : 2009 = 0.513 (2) - 2012=0.544 (5)|
|Citation count*||44 (2020-09-26)|
* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.