3 papers
math.DG2001
Special Kaehler manifolds: a survey
Vicente Cortes
This is a survey of recent contributions to the area of special Kaehler geometry. It is based on lectures given at the 21st Winter School on Geometry and Physics held in Srni in Ja…
math.DG1999
A new construction of homogeneous quaternionic manifolds and related geometric structures
Vicente Cortes
Let V be the pseudo-Euclidean vector space of signature (p,q), p>2 and W a module over the even Clifford algebra Cl^0 (V). A homogeneous quaternionic manifold (M,Q) is constructed…
dg-ga1997
Classification of stationary compact homogeneous special pseudo Kähler manifolds of semisimple groups
D. V. Alekseevsky, V. Cortes
The variation of Hodge structure of a Calabi-Yau 3-fold induces a canonical Kähler metric on its Kuranishi moduli space, known as the Weil-Petersson metric. Similarly, special pseu…