Geodesic Webs and PDE Systems of Euler Equations
Permanent link
https://hdl.handle.net/10037/2046Date
2008-10-30Type
Journal articleTidsskriftartikkel
Peer reviewed
Abstract
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 ≥ n + 1) of hypersurfaces to be hyperplanar webs. These conditions
are systems of generalized Euler equations, and for flat connections we
give an explicit construction of their solutions.
Description
Dette er forfatternes aksepterte versjon
Publisher
Springer NetherlandsCitation
Acta Applicandae Mathematicae: An International Survey Journal on Applying Mathematics and Mathematical Applications DOI 10.1007/s10440-009-9437-1Metadata
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