Scalar curvature rigidity of domains in a 3-dimensional warped product

Abstract

A warped product with a spherical factor and a logarithmically concave warping function satisfies a scalar curvature rigidity of the Llarull type. We develop a scalar curvature rigidity of the Llarull type for a general class of domains in a three dimensional spherical warped product. In the presence of rotational symmetry, we identify this class of domains as those satisfying a boundary condition analogous to the logarithmic concavity of the warping function.

Publication
arXiv: 2503.04025, 2025
Gaoming Wang
Gaoming Wang
PostDoc

My research interests include Geometric Analysis and Partial Differential Equations.