PSEUDO SYMMETRIC AND PSEUDO RICCI SYMMETRIC WARPED PRODUCT MANIFOLDS

DE, UDAY; MURATHAN, CENGİZHAN; ÖZGÜR, CİHAN

doi:10.4134/ckms.2010.25.4.615

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, Scopus)

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.