Abstract
We study non-anti-invariant slant submanifolds of generalized S-space-forms with two structure vector felds in order to know if they inherit the ambient structure. In this context, we focus on totally geodesic, totally umbilical, totally ƒ-geodesic and totally ƒ-umbilical non-anti-invariant slant submanifolds and obtain some obstructions. Moreover, we present some new interesting examples of generalized S-space-forms.
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The authors are partially supported by the PAI project (Junta de Andalucía, Spain, 2009) and by the MEC-FEDER grant MTM 2007-61284 (MEC, Spain, 2007).
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Carriazo, A., Fernández, L.M. Induced generalized S-space-form structures on submanifolds. Acta Math Hung 124, 385–398 (2009). https://doi.org/10.1007/s10474-009-8211-1
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DOI: https://doi.org/10.1007/s10474-009-8211-1