We establish some inequalities of Chen’s type between certain intrinsic
invariants (involving sectional, Ricci and scalar curvatures) and the
squared mean curvature of submanifolds tangent to the structure vector
fields of a generalized $S$-space-form and we discuss the equality cases
of them. We apply the obtained results to slant submanifolds.
Generalized S-space-form intrinsic invariant slant submanifold
Birincil Dil | İngilizce |
---|---|
Konular | Matematik |
Bölüm | Matematik |
Yazarlar | |
Yayımlanma Tarihi | 1 Şubat 2015 |
Yayımlandığı Sayı | Yıl 2015 Cilt: 44 Sayı: 1 |