Cauchy-Riemann submanifolds of locally conformal Kaehler manifolds. III.
Cauchy-Riemann submanifolds of locally conformal Kaehler manifolds. III.
[Parts I and II, see the first author, Geom. Dedicata 28, No. 2, 181-197 (1988; Zbl 0659.53041) and Atti Semin. Mat. Fis. Univ. Modena 37, No. 1, 1-11 (1989; Zbl 0674.53057).] First it is given a classification of totally geodesic real surfaces of a generalized Hopf manifold with flat local Kähler metrics. Then there are obtained characterizations of harmonic complex immersions in complex Hopf manifolds. Finally, there are stated several results on the geometry of distributions involved in the theory of CR submanifolds in locally conformal Kähler manifolds. One of them is the extension of a result of the reviewer [cf. \textit{A. Bejancu}, Geometry of CR-submanifolds, (D. Reidel 1986; Zbl 0605.53001), p. 97] to the case of a complex Hopf manifold.
- University of Basilicata Italy
totally geodesic real surfaces, CR submanifolds, Global submanifolds, harmonic complex immersions, generalized Hopf manifold, Other complex differential geometry
totally geodesic real surfaces, CR submanifolds, Global submanifolds, harmonic complex immersions, generalized Hopf manifold, Other complex differential geometry
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