PSEUDO SYMMETRIC AND PSEUDO RICCI SYMMETRIC WARPED PRODUCT MANIFOLDS

DE U. C., MURATHAN C., ÖZGÜR C.

COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, cilt.25, sa.4, ss.615-621, 2010 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 25 Sayı: 4
  • Basım Tarihi: 2010
  • Doi Numarası: 10.4134/ckms.2010.25.4.615
  • Dergi Adı: COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Sayfa Sayıları: ss.615-621
  • Anahtar Kelimeler: warped product manifold, pseudo symmetric manifold, pseudo Ricci symmetric manifold
  • Bursa Uludağ Üniversitesi Adresli: Evet

Özet

We study pseudo symmetric (briefly (PS)(n)) and pseudo Ricci symmetric (briefly (PRS)(n)) warped product manifolds M x (F) N. If M is (PS)(n), then we give a condition on the warping function that M is a pseudosymmetric space and N is a space of constant curvature. If M is (PRS)(n), then we show that (i) N is Ricci symmetric and (ii) M is (PRS)(n) if and only if the tensor T defined by (2.6) satisfies a certain condition.