Conformal Patterson-Walker metrics

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F19%3A00114184" target="_blank" >RIV/00216224:14310/19:00114184 - isvavai.cz</a>
Result on the web
<a href="https://www.intlpress.com/site/pub/pages/journals/items/ajm/content/vols/0023/0005/a001/index.php" target="_blank" >https://www.intlpress.com/site/pub/pages/journals/items/ajm/content/vols/0023/0005/a001/index.php</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.4310/AJM.2019.v23.n5.a1" target="_blank" >10.4310/AJM.2019.v23.n5.a1</a>

Result language
angličtina
Original language name
Conformal Patterson-Walker metrics
Original language description
The classical Patterson-Walker construction of a split-signature (pseudo-)Riemannian structure from a given torsion-free affine connection is generalized to a construction of a split-signature conformal structure from a given projective class of connections. A characterization of the induced structures is obtained. We achieve a complete description of Einstein metrics in the conformal class formed by the Patterson-Walker metric. Finally, we describe all symmetries of the conformal Patterson-Walker metric. In both cases we obtain descriptions in terms of geometric data on the original structure.
Czech name
—
Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GBP201%2F12%2FG028" target="_blank" >GBP201/12/G028: Eduard Čech Institute for algebra, geometry and mathematical physics</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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