326 citations
- Max Planck SocietyDE66 papers
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Showing 2002 · math.DGShow all
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math.DG2002
Conformally flat metrics on 4-manifolds
Michael Kapovich
We prove that for each closed smooth spin 4-manifold M there exists a closed smooth 4-manifold N such that the connected sum M # N admits a conformally flat Riemannian metric.
math.DG2002
Singular limit laminations, Morse index, and positive scalar curvature
Tobias H. Colding, Camillo De Lellis
For any 3-manifold M and any nonnegative integer g, we give here examples of metrics on M each of which has a sequence of embedded minimal surfaces of genus g and without Morse ind…
math.DG2002★ 5 cited
Eigenvalues and Holonomy
Werner Ballmann, Jochen Brüning, Gilles Carron
We estimate the eigenvalues of connection Laplacians in terms of the non-triviality of the holonomy.