Inequalities for the Casorati curvatures of real hypersurfaces in some Grassmannians
classification
🧮 math.DG
keywords
grassmannianscasoraticomplexcurvatureshypersurfacesinequalitiesnormalizedreal
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In this paper we obtain two types of optimal inequalities consisting of the normalized scalar curvature and the generalized normalized $\delta$-Casorati curvatures for real hypersurfaces of complex two-plane Grassmannians and complex hyperbolic two-plane Grassmannians. We also find the conditions on which the equalities hold.
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