Open manifolds with uniformly positive isotropic curvature
Differential Geometry
2023-11-28 v1 Analysis of PDEs
Geometric Topology
Abstract
We prove the following result: Let be a complete noncompact manifold of dimension with isotropic curvature bounded below by a positive constant, with scalar curvature bounded above, and with injectivity radius bounded below. Then there is a finite collection of spherical -manifolds and manifolds of the form , where is a discrete subgroup of the isometry group of the round cylinder , such that is diffeomorphic to a (possible infinite) connected sum of members of . This extends a recent work of Huang. The proof uses Ricci flow with surgery on open orbifolds with isolated singularities.
Keywords
Cite
@article{arxiv.2311.15825,
title = {Open manifolds with uniformly positive isotropic curvature},
author = {Hong Huang},
journal= {arXiv preprint arXiv:2311.15825},
year = {2023}
}
Comments
arXiv admin note: text overlap with arXiv:1909.12265