A New Class of Slant Submanifolds in Generalized Sasakian Space Forms
| Autor: | Alfonso Carriazo, Pablo Alegre, Joaquín Barrera |
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| Rok vydání: | 2020 |
| Předmět: |
Pure mathematics
Mean curvature Mathematics::Complex Variables General Mathematics Second fundamental form Mathematics::History and Overview 010102 general mathematics Submanifold Space (mathematics) 01 natural sciences 010101 applied mathematics Mathematics::Differential Geometry 0101 mathematics Mathematics::Symplectic Geometry Ricci curvature Mathematics Scalar curvature |
| Zdroj: | Mediterranean Journal of Mathematics. 17 |
| ISSN: | 1660-5454 1660-5446 |
| DOI: | 10.1007/s00009-020-01511-9 |
| Popis: | In this paper, we introduce the notion of $$*$$-slant submanifold as that slant submanifold whose second fundamental form satisfies the equality case of an inequality between its mean curvature and its scalar curvature. In addition to that, we give several interesting examples about these submanifolds. Finally, we obtain the Ricci curvature for a $$*$$-slant submanifold depending on the mean curvature vector and we give lower and upper bounds for the Ricci curvature. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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