52 citations · 294 across the 26 of their papers we have counts for
26 papers
Scalar curvature rigidity of warped product metrics
Christian Baer, Simon Brendle, Bernhard Hanke +1
We show scalar-mean curvature rigidity of warped products of round spheres of dimension at least 2 over compact intervals equipped with strictly log-concave warping functions. This…
Lipschitz rigidity for scalar curvature
Simone Cecchini, Bernhard Hanke, Thomas Schick
Let be a closed smooth connected spin manifold of even dimension , let be a Riemannian metric of regularity , , on whose distributional scalar curvat…
Remarks on the paper "On Gromov's dihedral extremality and rigidity conjectures" by Jinmin Wang, Zhizhang Xie and Guoliang Yu
Christian Baer, Bernhard Hanke, Thomas Schick
Version 2 of the article "On Gromov's dihedral extremality and rigidity conjectures" by Jinmin Wang, Zhizhang Xie and Guoliang Yu makes a number of claims for self-adjoint extensio…
Boundary conditions for scalar curvature
Christian Baer, Bernhard Hanke
Based on the Atiyah-Patodi-Singer index formula, we construct an obstruction to positive scalar curvature metrics with mean convex boundaries on spin manifolds of infinite K-area.…
Bott-Thom isomorphism, Hopf bundles and Morse theory
Jost-Hinrich Eschenburg, Bernhard Hanke
Based on Morse theory for the energy functional on path spaces we develop a deformation theory for mapping spaces of spheres into orthogonal groups. This is used to show that these…
Scalar positive immersions
Luis A. Florit, Bernhard Hanke
As shown by Gromov-Lawson and Stolz the only obstruction to the existence of positive scalar curvature metrics on closed simply connected manifolds in dimensions at least five appe…