Ricci-flat metrics and Killing-Yano tensors

Ricci-flat metrics and Killing-Yano tensors

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.

Bibliographic Details
Main Author: Bykov Dmitri
Format: Article
Language:English
Published: EDP Sciences 2018-01-01
Series:EPJ Web of Conferences
Online Access:https://doi.org/10.1051/epjconf/201819106010
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spelling doaj-75549a7734f34729a0e4df0e579e78882021-08-02T01:13:29ZengEDP SciencesEPJ Web of Conferences2100-014X2018-01-011910601010.1051/epjconf/201819106010epjconf_quarks2018_06010Ricci-flat metrics and Killing-Yano tensorsBykov DmitriWe 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.https://doi.org/10.1051/epjconf/201819106010
collection DOAJ
language English
format Article
sources DOAJ
author Bykov Dmitri
spellingShingle Bykov Dmitri
Ricci-flat metrics and Killing-Yano tensors
EPJ Web of Conferences
author_facet Bykov Dmitri
author_sort Bykov Dmitri
title Ricci-flat metrics and Killing-Yano tensors
title_short Ricci-flat metrics and Killing-Yano tensors
title_full Ricci-flat metrics and Killing-Yano tensors
title_fullStr Ricci-flat metrics and Killing-Yano tensors
title_full_unstemmed Ricci-flat metrics and Killing-Yano tensors
title_sort ricci-flat metrics and killing-yano tensors
publisher EDP Sciences
series EPJ Web of Conferences
issn 2100-014X
publishDate 2018-01-01
description 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.
url https://doi.org/10.1051/epjconf/201819106010
work_keys_str_mv AT bykovdmitri ricciflatmetricsandkillingyanotensors
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