BI-LEGENDRIAN STRUCTURES AND PARACONTACT GEOMETRY
نویسندگان
چکیده
منابع مشابه
Legendrian Submanifold Path Geometry
In [Ch1], Chern gives a generalization of projective geometry by considering foliations on the Grassman bundle of p-planes Gr(p, R) → R by p-dimensional submanifolds that are integrals of the canonical contact differential system. The equivalence method yields an sl(n + 1, R)valued Cartan connection whose curvature captures the geometry of such foliation. In the flat case, the space of leaves o...
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متن کاملspecial connections in almost paracontact metric geometry
two types of properties for linear connections (natural and almost paracontact metric) are discussed in almost paracontact metric geometry with respect to four linear connections: levi-civita, canonical (zamkovoy), golab and generalized dual. their relationship is also analyzed with a special view towards their curvature. the particular case of an almost paracosymplectic manifold giv...
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We show that a null–homologous transverse knot K in the complement of an overtwisted disk in a contact 3–manifold is the boundary of a Legendrian ribbon if and only if it possesses a Seifert surface S such that the self–linking number of K with respect to S satisfies sl(K,S) = −χ(S). In particular, every null–homologous topological knot type in an overtwisted contact manifold can be represented...
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ژورنال
عنوان ژورنال: International Journal of Geometric Methods in Modern Physics
سال: 2009
ISSN: 0219-8878,1793-6977
DOI: 10.1142/s0219887809003631