CR-submanifolds of a locally conformal Kaehler space form
Summary: The purpose of this paper is to continue the study of CR-submanifolds [\textit{A. Bejancu}, Proc. Am. Math. Soc. 69, 135-142 (1978; Zbl 0376.53034) and Trans. Am. Math. Soc. 250, 333-345 (1979; Zbl 0401.53017)] and in particular of those of a locally conformal Kähler space form [\textit{K. Matsumoto}, J. Korean Math. Soc. 21, 49-61 (1984; Zbl 0554.53039)]. Some results on the holomorphic sectional curvature, \(D\)- totally geodesic, \(D^ 1\)-totally geodesic and \(D^ 1\)-minimal CR- submanifolds of locally conformal Kaehler (l.c.k.)-space from \(\overline{M}(c)\) are obtained. We have also discussed the Ricci curvature as well as the scalar curvature of CR-submanifolds of \(\overline{M}(c)\).
scientific article; zbMATH DE number 650823
scientific article