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Geometric invariants of fanning curves

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Mar 2009Embargo end date: 01 Jan 2005 English Publisher:Elsevier BVJournal:Advances in Applied Mathematics, volume 42, pages 290-312 (issn: 0196-8858, Copyright policy )
Authors: Juan Carlos Álvarez Paiva; Carlos E. Durán;

doi: 10.1016/j.aam.2006.07.008 , 10.48550/arxiv.math/0502481

arXiv: math/0502481

Geometric invariants of fanning curves

Abstract

We study the geometry of an important class of generic curves in the Grassmannian manifolds of $n$-dimensional subspaces and Lagrangian subspaces of $R^{2n}$ under the action of the linear and linear symplectic group.

22 pages

Related Organizations
Keywords

Mathematics - Differential Geometry, Lagrangian Grassmannian, Grassmannian manifolds, differential invariants, Applied Mathematics, Differential invariants (local theory), geometric objects, fanning curves, Grassmann manifolds, 53D12, Special Riemannian manifolds (Einstein, Sasakian, etc.), Differential geometry of homogeneous manifolds, Differential Geometry (math.DG), Mathematics - Symplectic Geometry, FOS: Mathematics, Differential invariants, Symplectic Geometry (math.SG), Jets in global analysis

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
35
Average
Top 10%
Average
Green
hybrid