On the stability of compact pseudo-Kähler and neutral Calabi-Yau manifolds

On stability manifolds of Calabi-Yau surfaces

We prove some general statements on stability conditions of CalabiYau surfaces and discuss the stability manifold of the cotangent bundle of P. Our primary interest is in spherical objects.

Non-compact Calabi–Yau Manifolds and Localized Gravity

We study localization of gravity in flat space in superstring theory. We find that an induced Einstein-Hilbert term can be generated only in four dimensions, when the bulk is a non-compact Calabi-Yau threefold with non-vanishing Euler number. The origin of this term is traced to R couplings in ten dimensions. Moreover, its size can be made much larger than the ten-dimensional gravitational Plan...

Generalized Calabi-Yau manifolds

A geometrical structure on even-dimensional manifolds is defined which generalizes the notion of a Calabi-Yau manifold and also a symplectic manifold. Such structures are of either odd or even type and can be transformed by the action of both diffeomorphisms and closed 2-forms. In the special case of six dimensions we characterize them as critical points of a natural variational problem on clos...

Gauge Theoretical Construction of Non-compact Calabi-Yau Manifolds

We construct the non-compact Calabi-Yau manifolds interpreted as the complex line bundles over the Hermitian symmetric spaces. These manifolds are the various generalizations of the complex line bundle over CP. Imposing an F-term constraint on the line bundle over CP, we obtain the line bundle over the complex quadric surface Q. On the other hand, when we promote the U(1) gauge symmetry in CP t...

Calabi-Yau Manifolds