On semi-Riemannian manifolds satisfying some conformally invariant curvature condition
Ryszard Deszcz , Małgorzata Głogowska , Hideko Hashiguchi , Marian Hotloś , Makoto Yawata
AbstractWe investigate semi-Riemannian manifolds with pseudosymmetric Weyl curvature tensor satisfying some additional condition imposed on their curvature tensor. Among other things we prove that the so-called Roter type equation holds on such manifolds. We present applications of our results to hypersurfaces in semi-Riemannian space forms, as well as to 4-dimensional warped products. © Instytut Matematyczny PAN, 2013.
|Journal series||Colloquium Mathematicum, ISSN 0010-1354, , (A 15 pkt)|
|Publication size in sheets||1.05|
|Keywords in English||Generalized curvature tensor; Warped product; quasi-Einstein manifold; Pseudosymmetry; Roter type equation; Hypersurface|
|Score|| = 15.0, 01-06-2020, ArticleFromJournal|
= 15.0, 01-06-2020, ArticleFromJournal
|Publication indicators||= 13; = 13; : 2013 = 0.746; : 2013 = 0.422 (2) - 2014=0.409 (5)|
|Citation count*||16 (2020-09-18)|
* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.