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, Scopus)
- 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.