Existence and classification of three-dimensional Lorentzian manifold with prescribed distinct Ricci eigenvalues

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F16%3A10317492" target="_blank" >RIV/00216208:11320/16:10317492 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.geomphys.2015.10.009" target="_blank" >http://dx.doi.org/10.1016/j.geomphys.2015.10.009</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.geomphys.2015.10.009" target="_blank" >10.1016/j.geomphys.2015.10.009</a>

Result language
angličtina
Original language name
Existence and classification of three-dimensional Lorentzian manifold with prescribed distinct Ricci eigenvalues
Original language description
We prove that there exists at least one three-dimensional Lorentzian manifold with any prescribed distinct Ricci eigenvalues, which are given as arbitrary real analytic functions. Moreover, we prove that such Lorentzian manifolds depend locally on three arbitrary functions of two variables.
Czech name
—
Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
—

Project
<a href="/en/project/GA14-02476S" target="_blank" >GA14-02476S: Variations, geometry and physics</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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