Mostow's fibration for canonical embeddings of compact homogeneous CR manifolds (Q2414655)

From MaRDI portal
scientific article
Language Label Description Also known as
English
Mostow's fibration for canonical embeddings of compact homogeneous CR manifolds
scientific article

    Statements

    Mostow's fibration for canonical embeddings of compact homogeneous CR manifolds (English)
    0 references
    0 references
    0 references
    17 May 2019
    0 references
    Summary: 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.
    0 references
    homogeneous CR-manifold
    0 references
    CR-embedding
    0 references
    Mostow fibration
    0 references
    Matsuki duality
    0 references
    tangential Cauchy-Riemann complex
    0 references
    Dolbeault cohomology
    0 references

    Identifiers

    0 references
    0 references
    0 references
    0 references
    0 references
    0 references
    0 references
    0 references
    0 references