https://doi.org/10.1051/epjconf/201819106010
Ricci-flat metrics and Killing-Yano tensors
1
Ludwig-Maximilians-Universität, Theresienstrasse 37, 80333 Munich, Germany
2
Steklov Mathematical Institute, Gubkina str. 8, 119991 Moscow, Russia
* e-mail: dmitri.bykov@physik.uni-muenchen.de,bykov@mi.ras.ru
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.
