a Institut de Mathématiques, Université Pierre et Marie Curie, Analyse Algébrique, 4, place Jussieu, F-75252 Paris, France b Departamento de Matemática - CCEN, Universidade Federal do Pará, 66059, Belém PA, Brazil
Abstract:
We define a bilinear form associated to a sub-Riemannian contact manifold. It transforms by scalar multiples under sub-conformal transformations and with further hypothesis it is naturally defined on certain torus bundles over the contact manifold.