Hyperplanar Webs and Euler Equations

We find necessary and sufficient conditions for the foliation defined by level sets of a function f(x1, . . . , xn) to be totally geodesic in a torsion-free connection and apply them to find the conditions for d-webs of hypersurfaces to be geodesic, and in the case of flat connections, for d-webs (d...

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Bibliographic Details
Date:2009
Main Authors: Goldberg, V.V., Lychagin, V.V.
Format: Article
Language:English
Published: Інститут математики НАН України 2009
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Online Access:http://dspace.nbuv.gov.ua/handle/123456789/6308
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Hyperplanar Webs and Euler Equations / V.V. Goldberg, V.V. Lychagin // Збірник праць Інституту математики НАН України. — 2009. — Т. 6, № 2. — С. 276-287. — Бібліогр.: 1 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine