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Ricci-flat metrics on the cone over CP^2 # \overline\CP^2

Bykov, D. (in preparation). Ricci-flat metrics on the cone over CP^2 # \overline\CP^2.

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1712.07227.pdf (Preprint), 851KB
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Creators:
Bykov, Dmitri1, Author
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1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014

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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.

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Dates: 2017-12-19
Publication Status: Not specified
Pages: 56 pages, 4 figures
Publishing info: -
Rev. Method: -
Identifiers: arXiv: 1712.07227
URI: http://arxiv.org/abs/1712.07227
Degree: -

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