Induced generalized <Emphasis Type="Italic">S</Emphasis>-space-form structures on submanifolds |
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Authors: | A Carriazo L M Fernández |
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Institution: | (1) Dipartimento Di Matematica, Università Di Bari, Via Orabona 4, 70125 Bari, Italy |
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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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Keywords: | |
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