EN
Some relationships between intrinsic and extrinsic invariants of submanifolds in generalized $S$-space-forms
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
References
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Details
Primary Language
English
Subjects
Mathematical Sciences
Journal Section
Research Article
Publication Date
February 1, 2015
Submission Date
December 13, 2011
Acceptance Date
December 14, 2013
Published in Issue
Year 2015 Volume: 44 Number: 1
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. https://izlik.org/JA36MH63LE
AMA
1.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. https://izlik.org/JA36MH63LE
Chicago
Fernández, L.m., and A.m. Fuentes. 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. https://izlik.org/JA36MH63LE.
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
[1]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, Feb. 2015, [Online]. Available: https://izlik.org/JA36MH63LE
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 1, 2015): 59-74. https://izlik.org/JA36MH63LE.
JAMA
1.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, Feb. 2015, pp. 59-74, https://izlik.org/JA36MH63LE.
Vancouver
1.L.m. Fernández, A.m. Fuentes. Some relationships between intrinsic and extrinsic invariants of submanifolds in generalized $S$-space-forms. Hacettepe Journal of Mathematics and Statistics [Internet]. 2015 Feb. 1;44(1):59-74. Available from: https://izlik.org/JA36MH63LE