Real minimal hypersurfaces in complex two-plane grassmannians
The geometry of real hypersurfaces have been intensively studied and obtained some classification of these hypersurfaces. \textit{M. Kimura} [Trans.\ Am.\ Math.\ Soc.\ 296, 137--149 (1986; Zbl 0597.53021)] have obtained a completely classification of real hypersurfaces in the complex projective spaces. \textit{A. Martinez} and \textit{J. D. Perez}, [Ann.\ Mat.\ Pura Appl., IV. Ser.\ 145, 355--384 (1986; Zbl 0615.53012)] has obtained a full classification for the real hypersurfaces in quaternionic projective spaces. In this paper a pinching condition for compact minimal hypersurfaces in complex two-plane Grassmannian \(G_2(C^{m+2})\) with bounded sectional curvature is considered.
scientific article; zbMATH DE number 5990601