On some differential operators on natural Riemann extensions

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F15%3A10317466" target="_blank" >RIV/00216208:11320/15:10317466 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/s10455-015-9463-3" target="_blank" >http://dx.doi.org/10.1007/s10455-015-9463-3</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s10455-015-9463-3" target="_blank" >10.1007/s10455-015-9463-3</a>

Result language
angličtina
Original language name
On some differential operators on natural Riemann extensions
Original language description
Natural Riemann extensions are pseudo-Riemannian metrics (introduced by Sekizawa and studied then by Kowalski-Sekizawa), which generalize the classical Riemann extension defined by Patterson-Walker. Let M be a manifold with an affine connection and let T*M be the total space of its cotangent bundle. On T*M endowed with a natural Riemann extension, we study here the Laplacian and give necessary and sufficient conditions for the harmonicity of a certain family of (local) functions. We also prove a gradient formula for natural Riemann extensions.
Czech name
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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
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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