LIGHTLIKE HYPERSURFACES WITH PARALLEL SCREEN SHAPE OPERATOR
نویسندگان
چکیده
منابع مشابه
Hypersurfaces of a Sasakian space form with recurrent shape operator
Let $(M^{2n},g)$ be a real hypersurface with recurrent shapeoperator and tangent to the structure vector field $xi$ of the Sasakian space form$widetilde{M}(c)$. We show that if the shape operator $A$ of $M$ isrecurrent then it is parallel. Moreover, we show that $M$is locally a product of two constant $phi-$sectional curvaturespaces.
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let $(m^{2n},g)$ be a real hypersurface with recurrent shapeoperator and tangent to the structure vector field $xi$ of the sasakian space form$widetilde{m}(c)$. we show that if the shape operator $a$ of $m$ isrecurrent then it is parallel. moreover, we show that $m$is locally a product of two constant $phi-$sectional curvaturespaces.
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ژورنال
عنوان ژورنال: International Electronic Journal of Geometry
سال: 2015
ISSN: 1307-5624
DOI: 10.36890/iejg.592284