CHEN INEQUALITIES FOR SUBMANIFOLDS OF A COSYMPLECTIC SPACE FORM WITH A SEMI-SYMMETRIC METRIC CONNECTION

ÖZGÜR, CİHAN; MURATHAN, CENGİZHAN

doi:10.2478/v10157-012-0015-x

CHEN INEQUALITIES FOR SUBMANIFOLDS OF A COSYMPLECTIC SPACE FORM WITH A SEMI-SYMMETRIC METRIC CONNECTION

ANALELE STIINTIFICE ALE UNIVERSITATII AL I CUZA DIN IASI-SERIE NOUA-MATEMATICA, cilt.58, sa.2, ss.395-408, 2012 (SCI-Expanded)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 58 Sayı: 2
Basım Tarihi: 2012
Doi Numarası: 10.2478/v10157-012-0015-x
Dergi Adı: ANALELE STIINTIFICE ALE UNIVERSITATII AL I CUZA DIN IASI-SERIE NOUA-MATEMATICA
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.395-408
Anahtar Kelimeler: semi-symmetric metric connection, Chen inequality, cosymplectic space form, Ricci curvature
Bursa Uludağ Üniversitesi Adresli: Evet

Özet

In this paper, we prove Chen inequalities for submanifolds of a cosymplectic space form of constant phi-sectional curvature N2m+1(c) endowed with a semi-symmetric metric connection, i.e., relations between the mean curvature associated with the semi-symmetric metric connection, scalar and sectional curvatures, k-Ricci curvature and the sectional curvature of the ambient space.