Ricci-flat metrics on the cone over CP² # CP²

الأصل · EN

We describe a framework for constructing the Ricci-flat metrics on the total space of the canonical bundle over CP² # CP² (the del Pezzo surface of rank one). We construct explicitly the first-order deformation of the so-called `orthotoric metric' on this manifold. We also show that the deformation of the corresponding conformal Killing-Yano form does not exist.