Contact Geometry of Curves
نویسندگان
چکیده
منابع مشابه
Contact Geometry of Curves
Cartan’s method of moving frames is briefly recalled in the context of immersed curves in the homogeneous space of a Lie group G. The contact geometry of curves in low dimensional equi-affine geometry is then made explicit. This delivers the complete set of invariant data which solves the G-equivalence problem via a straightforward procedure, and which is, in some sense a supplement to the equi...
متن کاملPlane Curves and Contact Geometry
We apply contact homology to obtain new results in the problem of distinguishing immersed plane curves without dangerous selftangencies.
متن کامل5 Plane Curves and Contact Geometry
We apply contact homology to obtain new results in the problem of distinguishing immersed plane curves without dangerous selftangencies.
متن کاملGeometry of curves and surfaces through the contact map
We introduce a new approach to the study of affine equidistants and centre symmetry sets via a family of maps obtained by reflexion in the midpoints of chords of a submanifold of affine space. We apply this to surfaces in R, previously studied by Giblin and Zakalyukin, and then apply the same ideas to surfaces in R, elucidating some of the connexions between their geometry and the family of ref...
متن کاملContact Graphs of Curves
Contact graphs are a special kind of intersection graphs of geometrical objects in which we do not allow the objects to cross but only to touch each other. Contact graphs of simple curves (and line segments as a special case) in the plane are considered. Several classes of contact graphs are introduced and their properties and inclusions between them are studied. Also the relation between plana...
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ژورنال
عنوان ژورنال: Symmetry, Integrability and Geometry: Methods and Applications
سال: 2009
ISSN: 1815-0659
DOI: 10.3842/sigma.2009.098