Some relationships between intrinsic and extrinsic invariants of submanifolds in generalized $S$-space-forms

L.m. Fernández; A.m. Fuentes

Araştırma Makalesi

Some relationships between intrinsic and extrinsic invariants of submanifolds in generalized $S$-space-forms

Yıl 2015, Cilt: 44 Sayı: 1, 59 - 74, 01.02.2015

Öz

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.

Anahtar Kelimeler

Generalized S-space-form, intrinsic invariant, slant submanifold

Kaynakça

. . .

Yıl 2015, Cilt: 44 Sayı: 1, 59 - 74, 01.02.2015

L.m. Fernández A.m. Fuentes

Öz

Kaynakça

. . .

Toplam 1 adet kaynakça vardır.

Ayrıntılar

Birincil Dil	İngilizce
Konular	Matematik
Bölüm	Matematik
Yazarlar	L.m. Fernández A.m. Fuentes Bu kişi benim
Yayımlanma Tarihi	1 Şubat 2015
Yayımlandığı Sayı	Yıl 2015 Cilt: 44 Sayı: 1

Kaynak Göster

APA	Fernández, L., & Fuentes, A. (2015). Some relationships between intrinsic and extrinsic invariants of submanifolds in generalized $S$-space-forms. Hacettepe Journal of Mathematics and Statistics, 44(1), 59-74.
AMA	Fernández L, Fuentes A. Some relationships between intrinsic and extrinsic invariants of submanifolds in generalized $S$-space-forms. Hacettepe Journal of Mathematics and Statistics. Şubat 2015;44(1):59-74.
Chicago	Fernández, L.m., ve A.m. Fuentes. “Some Relationships Between Intrinsic and Extrinsic Invariants of Submanifolds in Generalized $S$-Space-Forms”. Hacettepe Journal of Mathematics and Statistics 44, sy. 1 (Şubat 2015): 59-74.
EndNote	Fernández L, Fuentes A (01 Şubat 2015) Some relationships between intrinsic and extrinsic invariants of submanifolds in generalized $S$-space-forms. Hacettepe Journal of Mathematics and Statistics 44 1 59–74.
IEEE	L. Fernández ve A. Fuentes, “Some relationships between intrinsic and extrinsic invariants of submanifolds in generalized $S$-space-forms”, Hacettepe Journal of Mathematics and Statistics, c. 44, sy. 1, ss. 59–74, 2015.
ISNAD	Fernández, L.m. - Fuentes, A.m. “Some Relationships Between Intrinsic and Extrinsic Invariants of Submanifolds in Generalized $S$-Space-Forms”. Hacettepe Journal of Mathematics and Statistics 44/1 (Şubat 2015), 59-74.
JAMA	Fernández L, Fuentes A. Some relationships between intrinsic and extrinsic invariants of submanifolds in generalized $S$-space-forms. Hacettepe Journal of Mathematics and Statistics. 2015;44:59–74.
MLA	Fernández, L.m. ve A.m. Fuentes. “Some Relationships Between Intrinsic and Extrinsic Invariants of Submanifolds in Generalized $S$-Space-Forms”. Hacettepe Journal of Mathematics and Statistics, c. 44, sy. 1, 2015, ss. 59-74.
Vancouver	Fernández L, Fuentes A. Some relationships between intrinsic and extrinsic invariants of submanifolds in generalized $S$-space-forms. Hacettepe Journal of Mathematics and Statistics. 2015;44(1):59-74.