TRANSVERSE KILLING FORMS ON A KÄAHLER FOLIATION

Smooth Maps Transverse to a Foliation

Detecting When a Nonsingular Flow Is Transverse to a Foliation

We show that any foliation transverse to a C 1 nonsingular flow φ on a closed 3-manifold can be detected algorithmically. We use this to describe a procedure that, for any δ > 0, will determine whether or not there is a foliation whose tangent space is bounded away from the tangent space to φ by a distance of δ.

Killing Forms on Toric Sasaki - Einstein Spaces ∗

We summarize recent results on the construction of Killing forms on SasakiEinstein manifolds. The complete set of special Killing forms of the Sasaki-Einstein spaces are presented. It is pointed out the existence of two additional Killing forms associated with the complex holomorphic volume form of Calabi-Yau cone manifold. In the case of toric Sasaki-Einstein manifolds the Killing forms are ex...

Normal Conformal Killing Forms

We introduce in this paper normal twistor equations for differential forms and study their solutions, the so-called normal conformal Killing forms. The twistor equations arise naturally from the canonical normal Cartan connection of conformal geometry. Reductions of its holonomy are related to solutions of the normal twistor equations. The case of decomposable normal conformal holonomy represen...

On Quasi-Invariant Transverse Measures for the Horospherical Foliation of a Negatively Curved Manifold