Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9500465 | Differential Geometry and its Applications | 2005 | 11 Pages |
Abstract
Let f:VâW be a map between closed, oriented Riemannian n-manifolds. It is shown that FillRad(W)⩽dil(f)â
FillRad(V), if |deg(f)|=1. By this mapping property, we obtain an estimate from below for the filling radius of a closed, oriented, nonpositively curved manifold, or a manifold with sectional curvature bounded above by a positive constant. In addition, a similar mapping property of packing radius and a corollary are also obtained.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Luofei Liu,