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Free keywords:
High Energy Physics - Theory, hep-th,General Relativity and Quantum Cosmology, gr-qc,Mathematics, Differential Geometry, math.DG
Abstract:
We describe a framework for constructing the Ricci-flat metrics on the total
space of the canonical bundle over $\mathbb{CP}^2 \# \overline{\mathbb{CP}^2}$
(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.
