2 papers
math.DG2024
On the long neck principle and width estimates for initial data sets
Daoqiang Liu
In this paper, we prove the long neck principle, band width estimates, and width inequalities of the geodesic collar neighborhoods of the boundary in the setting of general initial…
math.DG2024
A note on the long neck principle and spectral width inequality of geodesic collar neighborhoods
Daoqiang Liu
The main purpose of this short note is to derive some generalizations of the long neck principle and give a spectral width inequality of geodesic collar neighborhoods. Our results…