Harmonic Forms on Manifolds with Non-Negative Bakry-Émery-Ricci Curvature
Vieira, Matheus
Original · EN
In this paper we prove that on a complete smooth metric measure space with non-negative Bakry-Émery-Ricci curvature if the space of weighted L² harmonic one-forms is non-trivial then the weighted volume of the manifold is finite and universal cover of the manifold splits isometrically as the product of the real line with an hypersurface.
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