Mostow’s fibration for canonical embeddings of compact homogeneous CR manifolds
Stefano Marini
Università di Parma, ItalyMauro Nacinovich
Università di Roma Tor Vergata, Italy
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Abstract
We define a class of compact homogeneous CR manifolds which are bases of Mostow fibrations having total spaces equal to their canonical complex realizations and Hermitian fibers. This is used to establish isomorphisms between their tangential Cauchy–Riemann cohomology groups and the corresponding Dolbeault cohomology groups of the embeddings.
Cite this article
Stefano Marini, Mauro Nacinovich, Mostow’s fibration for canonical embeddings of compact homogeneous CR manifolds. Rend. Sem. Mat. Univ. Padova 140 (2018), pp. 1–43
DOI 10.4171/RSMUP/1