7 papers · 1 filter
Homogeneous toric bundles with positive first Chern class
Fabio Podesta', Andrea Spiro
A simple algebraic characterization of the Fano manifolds in the class of homogeneous toric bundles over a flag manifold is provided in terms of symplectic data.
Explicit construction of a Chern-Moser connection for CR manifolds of codimension two
Gerd Schmalz, Andrea Spiro
In the present paper we suggest an explicit construction of a Cartan connection for an elliptic or hyperbolic CR manifold M of dimension six and codimension two, i.e. a pair (P, w)…
Running after a new Kaehler-Einstein metric
Fabio Podesta', Andrea Spiro
We deal with compact Kaehler manifolds M which are acted on by a semisimple compact Lie group G of isometries with codimension one regular orbits. We provide an explicit descriptio…
The Ricci tensor of an almost homogenous Kaehler manifold
Andrea Spiro
We determine an explicit expression for the Ricci tensor of a K-manifold, that is of a compact Kaehler manifold M with vanishing first Betti number, on which a semisimple group G o…
Compact homogeneous CR manifolds
Dmitry V. Alekseevsky, Andrea F. Spiro
We classify all compact simply connected homogeneous CR manifolds of codimension one and with non-degenerate Levi form up to CR equivalence. The classification is based on our…
The Structure Equations of a Complex Finsler Manifold
Andrea Spiro
For a strongly pseudo-convex complex Finsler manifold M, a bundle U of adapted unitary frames is canonically defined. A non-linear Hermitian connection on U, invariant under local…