Special metrics and scales in parabolic geometry

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F22%3A00129224" target="_blank" >RIV/00216224:14310/22:00129224 - isvavai.cz</a>
Alternative codes found
RIV/60076658:12310/22:43904921
Result on the web
<a href="https://arxiv.org/pdf/2002.02199.pdf" target="_blank" >https://arxiv.org/pdf/2002.02199.pdf</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s10455-022-09866-w" target="_blank" >10.1007/s10455-022-09866-w</a>

Result language
angličtina
Original language name
Special metrics and scales in parabolic geometry
Original language description
Given a parabolic geometry, it is sometimes possible to find special metrics characterised by some invariant conditions. In conformal geometry, for example, one asks for an Einstein metric in the conformal class. Einstein metrics have the special property that their geodesics are distinguished, as unparameterised curves, in the sense of parabolic geometry. This property characterises the Einstein metrics. In this article, we initiate a study of corresponding phenomena for other parabolic geometries, in particular for the hypersurface CR and contact Legendrean cases.
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
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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