Abstract
AbstractThe sheaf of solutions \(\mathcal {J}_\nabla \) of the Hessian equation on a gauge structure \((M,\nabla )\) is a key ingredient for understanding important properties from the cohomological point of view. In this work, a canonical representation of the group associated by Lie third’s theorem to the Lie algebra formed by the sections of \(\mathcal {J}_\nabla \) is introduced. On the foliation it defines, a characterization of compact hyperbolic leaves is then obtained.
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