Bárány, Imre and Itoh, J.-I. and Vîlcu, C. and Zamfirescu, T. (2013) Every point is critical. ADVANCES IN MATHEMATICS, 235. pp. 390-397. ISSN 0001-8708
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Abstract
We show that, for any compact Alexandrov surface S (without boundary) and any point y in S, there exists a point x in S for which y is a critical point. Moreover, we prove that uniqueness characterizes the surfaces homeomorphic to the sphere among smooth orientable surfaces. © 2013.
| Item Type: | Article |
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| Uncontrolled Keywords: | Distance function; Critical point; Alexandrov surface |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 06 Feb 2014 21:13 |
| Last Modified: | 01 Jan 2015 01:15 |
| URI: | http://real.mtak.hu/id/eprint/10060 |
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