A geometric inequality for warped product semi-slant submanifolds of nearly cosymplectic manifolds
Küçük Resim Yok
Tarih
2014
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Union Matematica Argentina
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
Recently, we have shown that there do not exist warped product semislant submanifolds of cosymplectic manifolds [K.A. Khan, V.A. Khan and Siraj Uddin, Balkan J. Geom. Appl. 13 (2008), 55{65]. The nearly co- symplectic structure generalizes the cosymplectic one. Therefore the nearly Kaehler structure generalizes the Kaehler structure in almost Hermitian set- ting. It is interesting that the warped product semi-slant submanifolds exist in the nearly cosymplectic case while in the cosymplectic case they do not. In the beginning, we prove some preparatory results and finally we obtain an inequality such as {norm of matrix} h {norm of matrix} 2 ? 4q csc2 ?{1+ 1/9 cos2 ?}{norm of matrix} ?r ln f {norm of matrix} 2 in terms of intrinsic and extrinsic invariants. The equality case is also considered.
Açıklama
Anahtar Kelimeler
Nearly Cosymplectic Manifold, Semi-Slant Submanifold, Slant Submanifold, Warped Products
Kaynak
Revista de la Union Matematica Argentina
WoS Q Değeri
Scopus Q Değeri
Q3
Cilt
55
Sayı
1
