SUB-RIEMANNIAN STRUCTURES CORRESPONDING TO K ¨AHLERIAN METRICS ON THE UNIVERSAL TEICHM ¨ULLER SPACE AND CURVE

More specifically, we study the sub-Riemannian geometry arising from the contact distribution for the spheres S 2n + 1 with metric given as a restriction of the usual Riemannian

Taking holomorphic Virasoro generators L n as a basis of the tangent space to the coeffi- cient body for univalent functions at a fixed point, we see that the driving function in the

Just as elliptic operators correspond to a Riemannian geometric structure, such hypoelliptic operators correspond to a sub-Riemannian geometric structure.. One can

Sub-Riemannian Geometry is proved to play an important role in many applications, e.g., Mathematical Physics and Control Theory. The simplest example of sub-Riemannian structure

Based on the Löwner–Kufarev parametric representation we get a partially integrable Hamiltonian system in which the first integrals are Kirillov’s operators for a representation of

2.4 Intrinsic rolling of manifolds 21 The fact that the kinematic constraints of no-slipping and no-twisting can be under- stood as a distribution of rank n over the

The geodesics in the sub-Riemannian manifolds are defined as a projection of the solution to the corresponding Hamiltonian system onto the manifold.. It is a good generalization of

Namely, we describe the sub-Riemannian geometry