Mostow’s fibration for canonical embeddings of compact homogeneous CR manifolds
Marini, Stefano1 ; Nacinovich, Mauro2
1 Università di Parma, Italy
2 Università di Roma Tor Vergata, Italy
Rendiconti del Seminario Matematico della Università di Padova, Tome 140 (2018), pp. 1-43.

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.

Publié le :
DOI : 10.4171/RSMUP/1
Classification : 32, 53
Mots-clés : Homogeneous CR-manifold, CR-embedding, Mostow fibration, Matsuki duality, tangential Cauchy–Riemann complex, Dolbeault cohomology
Marini, Stefano 1 ; Nacinovich, Mauro 2

1 Università di Parma, Italy
2 Università di Roma Tor Vergata, Italy 
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     author = {Marini, Stefano and Nacinovich, Mauro},
     title = {Mostow{\textquoteright}s fibration for canonical embeddings of compact homogeneous {CR} manifolds},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     pages = {1--43},
     publisher = {European Mathematical Society Publishing House},
     address = {Zuerich, Switzerland},
     volume = {140},
     year = {2018},
     doi = {10.4171/RSMUP/1},
     mrnumber = {3881753},
     zbl = {1420.32026},
     url = {http://www.numdam.org/articles/10.4171/RSMUP/1/}
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Marini, Stefano; Nacinovich, Mauro. Mostow’s fibration for canonical embeddings of compact homogeneous CR manifolds. Rendiconti del Seminario Matematico della Università di Padova, Tome 140 (2018), pp. 1-43. doi : 10.4171/RSMUP/1. http://www.numdam.org/articles/10.4171/RSMUP/1/

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