| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4666201 | Advances in Mathematics | 2013 | 8 Pages |
Abstract
We show that, for any compact Alexandrov surface SS (without boundary) and any point yy in SS, there exists a point xx in SS for which yy is a critical point. Moreover, we prove that uniqueness characterizes the surfaces homeomorphic to the sphere among smooth orientable surfaces.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Imre Bárány, Jin-ichi Itoh, Costin Vîlcu, Tudor Zamfirescu,