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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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Item Permalink: http://hdl.handle.net/21.11116/0000-0000-BF23-2 Version Permalink: http://hdl.handle.net/21.11116/0000-0002-E8F3-6
Genre: Paper

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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
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 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1712.07227
URI: http://arxiv.org/abs/1712.07227
 Degree: -

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