Email this article Stable and unstable minimal surfaces and Hopf’s problem
- Authors: Aminov Y.A.1
-
Affiliations:
- Verkin Institute for Low Temperature Physics and Engineering
- Issue: Vol 93, No 2 (2016)
- Pages: 211-215
- Section: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/223589
- DOI: https://doi.org/10.1134/S1064562416020265
- ID: 223589
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Abstract
Hopf’s well-known conjecture is considered, which states that there exists no metric of strictly positive curvature on the topological product S2 × S2 of two 2-spheres. Three theorems are proved.
About the authors
Yu. A. Aminov
Verkin Institute for Low Temperature Physics and Engineering
Author for correspondence.
Email: aminov@ilt.kharkov.ua
Ukraine, pr. Lenina 47, Kharkov, 61103
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