EPJ Web Conf.
Volume 191, 2018XXth International Seminar on High Energy Physics (QUARKS-2018)
|Number of page(s)||8|
|Section||Modern Field Theory and Mathematical Physics|
|Published online||31 October 2018|
Ricci-flat metrics and Killing-Yano tensors
Ludwig-Maximilians-Universität, Theresienstrasse 37, 80333 Munich, Germany
2 Steklov Mathematical Institute, Gubkina str. 8, 119991 Moscow, Russia
Published online: 31 October 2018
We consider the problem of constructing Ricci-flat metrics on the total space of the canonical bundle over the del Pezzo surface of rank one. We analyze the so-called ‘orthotoric metric’ and its first-order deformation, whose existence is compatible with the Calabi-Yau theorem.
© The Authors, published by EDP Sciences, 2018
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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