Displaying similar documents to “On differential operators of second order on Riemannian manifolds with nonpositive curvature”

Dirac and Plateau billiards in domains with corners

Misha Gromov (2014)

Open Mathematics

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Groping our way toward a theory of singular spaces with positive scalar curvatures we look at the Dirac operator and a generalized Plateau problem in Riemannian manifolds with corners. Using these, we prove that the set of C 2-smooth Riemannian metrics g on a smooth manifold X, such that scalg(x) ≥ κ(x), is closed under C 0-limits of Riemannian metrics for all continuous functions κ on X. Apart from that our progress is limited but we formulate many conjectures. All along, we emphasize...