Article
Some relationships between intrinsic and extrinsic invariants of submanifolds in generalized S-space-forms
Author/s | Fernández Fernández, Luis Manuel
Fuentes Pino, Ana María |
Department | Universidad de Sevilla. Departamento de Geometría y Topología |
Publication Date | 2015 |
Deposit Date | 2016-06-29 |
Published in |
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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 ... 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. |
Funding agencies | Junta de Andalucía Ministerio de Educación, Cultura y Deporte (MECD). España |
Project ID. | FQM-327
MTM 2011-22621 |
Citation | Fernández Fernández, L.M. y Fuentes Pino, A.M. (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. |
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