Variational Problems on Contact Riemannian Manifolds
Variational Problems on Contact Riemannian Manifolds
We define the generalized Tanaka connection for contact Riemannian manifolds generalizing one for nondegenerate, integrable CR manifolds.Then the torsion and the generalized Tanaka-Webster scalar curvature are defined properly.Furthermore, we define gauge transformations of contact Riemannian structure, and obtain an invariant under such transformations.Concerning the integral related to the invariant, we …