A geometric inequality for warped product semi-slant submanifolds of nearly cosymplectic manifolds
Yükleniyor...
Dosyalar
Tarih
2014
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Union Matematica Argentina
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
Recently, we have shown that there do not exist warped product semi-slant submanifolds of cosymplectic manifolds [K.A. Khan, V.A. Khan and Siraj Uddin, Balkan J. Geom. Appl. 13 (2008), 55-65]. The nearly cosymplectic structure generalizes the cosymplectic one. Therefore the nearly Kaehler structure generalizes the Kaehler structure in almost Hermitian setting. 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 parallel to h parallel to(2) >= 4q csc(2) theta{1 + cos(2) theta}parallel to del In f parallel to(2) in terms of intrinsic and extrinsic invariants. The equality case is also considered.
Açıklama
Anahtar Kelimeler
slant submanifold, semi-slant submanifold, nearly cosymplectic manifold, warped products
Kaynak
Revista De La Union Matematica Argentina
WoS Q Değeri
Q4
Scopus Q Değeri
Q3
Cilt
55
Sayı
1
