CR-Submanifolds of Almost Hermitian Manifolds
CR-Submanifolds of Almost Hermitian Manifolds
\(CR\)-submanifolds are well studied in the case that \((M,g)\) is a Kähler manifold. In this paper, \((M,g)\), in general, is not Kähler. We examine the case of some classes of almost Hermitian manifolds, which generalize the Kähler case. In particular, the more interesting results are obtained for \(CR\)-submanifolds of quasi-Kähler, semi-Kähler, \({\mathcal G}_1\)- and \(W_1\oplus W_2\oplus W_4\)-manifolds.
- University of Florence Italy
Hermitian manifolds, Global submanifolds, General geometric structures on manifolds (almost complex, almost product structures, etc.), semi-Kähler manifold, quasi-Kähler manifold, Almost hermitian manifolds, CR-submanifolds, Levi form, Levi curvature
Hermitian manifolds, Global submanifolds, General geometric structures on manifolds (almost complex, almost product structures, etc.), semi-Kähler manifold, quasi-Kähler manifold, Almost hermitian manifolds, CR-submanifolds, Levi form, Levi curvature
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