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

L.m. Fernández; A.m. Fuentes

Research Article

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

Year 2015, Volume: 44 Issue: 1, 59 - 74, 01.02.2015

Abstract

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.

Keywords

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

References

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Year 2015, Volume: 44 Issue: 1, 59 - 74, 01.02.2015

L.m. Fernández , A.m. Fuentes

Abstract

References

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There are 1 citations in total.

Details

Primary Language	English
Subjects	Mathematical Sciences
Journal Section	Mathematics
Authors	L.m. Fernández A.m. Fuentes This is me
Publication Date	February 1, 2015
Published in Issue	Year 2015 Volume: 44 Issue: 1

Cite

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. February 2015;44(1):59-74.
Chicago	Fernández, L.m., and A.m. Fuentes. “Some Relationships Between Intrinsic and Extrinsic Invariants of Submanifolds in Generalized $S$-Space-Forms”. Hacettepe Journal of Mathematics and Statistics 44, no. 1 (February 2015): 59-74.
EndNote	Fernández L, Fuentes A (February 1, 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 and A. Fuentes, “Some relationships between intrinsic and extrinsic invariants of submanifolds in generalized $S$-space-forms”, Hacettepe Journal of Mathematics and Statistics, vol. 44, no. 1, pp. 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 (February 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. and A.m. Fuentes. “Some Relationships Between Intrinsic and Extrinsic Invariants of Submanifolds in Generalized $S$-Space-Forms”. Hacettepe Journal of Mathematics and Statistics, vol. 44, no. 1, 2015, pp. 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.