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Finsler spaces with infinite dimensional holonomy group
Finsler spaces infinite dimensional holonomy group
2011/1/17
Our paper is devoted to the study of the holonomy groups of Finsler surfaces using the methods of infinite dimensional Lie theory. The notion of infinitesimal holonomy algebra will be introduced, by t...
A new topological construction of infinite families of toric manifolds implying fan reduction
topological construction toric manifolds
2010/11/8
An infinite family of toric manifolds is constructed from a given one $M^{2n}$, using only the original characteristic function (or fan) data. This is done in a way which simplifies significantly the...
Relative homological algebra in categories of representations of infinite quivers
cover envelope torsion free flat representations of a quiver
2010/11/26
In the first part of this paper, we prove the existence of torsion
free covers in the category of representations of quivers, (Q,R-Mod),for a wide class of quivers included in the class of the so-cal...
Issues of Chaos and Recurrence in Infinite Dimensions
Infinite Dimensions bounded spatial domains phase spaces
2010/4/7
Various issues with regard to chaos and recurrence in infinite dimensions are discussed. The doctrine we are trying to derive is that Sobolev spaces over bounded spatial domains do host chaos and recu...