Geometric and Spectral Properties of Hypoelliptic Operators

We considered theories of gravity in the generalized hybrid framework, where besides the independent Palatini connection, the metric Levi-Civita connection is also allowed to enter

Our goal in this chapter will be to define a canonical way of constructing a Cartan geometry on sub-Riemannian manifolds with constant sub-Riemannian symbol as defined in 3.3.2,

The geometry of subRiemannian manifolds, examples of which are H -type quaternion groups, is quite different from Riemannian manifolds.. The definitions and basic notations

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

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

Namely, we describe the sub-Riemannian geometry

The main difference between the sub-Riemannian manifold and Riemannian one is the presence of a smooth subbundle of the tangent bundle, generating the entire tangent bundle by means