A deformation in families of Hodge-de Rham theory
This paper reports a deformation of the Levi-Civita superconnection associated to a family of de Rham-Hodge operators, whose curvature is a family of second order hypoelliptic operators along the fibers of the cotangent bundle of the given fibration. Two identities about the square of superconnection and the hypoelliptic Laplacian on cotangent bundle is announced respectively.
scientific article; zbMATH DE number 2093941