Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4665692 | Advances in Mathematics | 2014 | 32 Pages |
Abstract
We show that the set of harmonic maps from the 2-dimensional stratified spheres with uniformly bounded energies contains only finitely many homotopy classes. We apply this result to construct infinitely many harmonic map flows and mean curvature flows of 2-sphere in the connected sum of two closed 3-dimensional manifolds M1≠S3M1≠S3 and M2≠S3,RP3M2≠S3,RP3, which must develop finite time singularity.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Jingyi Chen, Yuxiang Li,