### Some articles on *legendrian*:

**Legendrian**Knot

... In mathematics, a

**Legendrian**knot often refers to a smooth embedding of the circle into, which is tangent to the standard contact structure on ... It is the lowest dimensional case of a

**Legendrian**submanifold, which is an embedding of a k-dimensional manifold into a (2k+1)-dimensional that is always tangent to the contact hyperplane ... There can be inequivalent

**Legendrian**knots that are isotopic as topological knots ...

Dehn Planes - Dehn's Non-

... In the same paper, Dehn also constructed an example of a non-

**Legendrian**Geometry... In the same paper, Dehn also constructed an example of a non-

**Legendrian**geometry where there are infinitely many lines through a point not meeting ... of any triangle is greater than π The non-**Legendrian**geometry consists of the points (xy1) of this affine subspace such that tx and ty are finite (where as ...Contact Geometry -

... The most interesting subspaces of a contact manifold are its

**Legendrian**Submanifolds and Knots... The most interesting subspaces of a contact manifold are its

**Legendrian**submanifolds ...**Legendrian**submanifolds are analogous to Lagrangian submanifolds of symplectic manifolds ... There is a precise relation the lift of a**Legendrian**submanifold in a symplectization of a contact manifold is a Lagrangian submanifold ...Relative Contact Homology -

... The simplest case yields invariants of

**Legendrian**Knots... The simplest case yields invariants of

**Legendrian**knots inside contact three-manifolds ... purely combinatorial version of relative contact homology for**Legendrian**knots, i.e ... a combinatorial invariant for loops of**Legendrian**knots, with which he detected differences between the fundamental groups of the space of smooth knots ...Main Site Subjects

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