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Real hypersurfaces in complex two-plane Grassmannians related to the Ricci curvature

2005
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Toyama Math. J
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unpublished

In this paper we introduce a new notion of the Ricci tensor derived from the curvature tensor of real hypersurfaces in complex two-plane Grassmannians G 2 (C m+2). Moreover, we give a characterization of real hypersurfaces of type A in G 2 (C m+2), that is, a tube over a totally geodesic G 2 (C m+1) in G 2 (C m+2) in terms of integral formulas related to the Ricci curvature Ric(ξ, ξ) along the direction of the structure vector field ξ for real hypersurfaces in G 2 (C m+2). 0. Introduction In

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