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Showing 1 to 4 of 4 for “"Positive scalar curvature"”.
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Positive scalar curvature and Callias-type index theorems for proper actions
… obstruction theorem for G- invariant metrics of positive scalar curvature in the non-cocompact setting.
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Ricci flow on 3-manifolds with symmetry
… ratio on the base manifold S2 has a low positive bound away from zero, if the scalar curvature on the 3-manifold is positive. We also obtained a monotonicity result under the condition that the length of the optimal curve for isoperimetric ratio shrinks to zero under Ricci flow. This …
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Results on spectral sequences for monopole and singular instanton Floer homologies
… double branched cover, such that each metric has positive scalar curvature. This allows us to conclude that the Seiberg-Witten equations for these families of metrics have no irreducible solutions, so the differentials in the spectral sequence can be computed from counting only the reducible …
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SPECIAL RIEMANNIAN STRUCTURES ON FOUR-MANIFOLDS: FROM TWISTOR SPACES TO UNOBSTRUCTED CONDITIONS
… between the existence of metrics satisfying curvature properties and the topology of the manifold they are defined on. In the first part of the work, we introduce Riemannian twistor spaces, which are 6-dimensional manifolds which can be associated to any Riemannian four-manifold: these spaces …