| Title |
Puankarė hipotezė: trumpa apžvalga |
| Translation of Title |
A brief overview of the Poincare conjecture. |
| Authors |
Otera, Daniele Ettore |
| DOI |
10.15388/LMR.2025.44463 |
| Full Text |
|
| Is Part of |
Lietuvos matematikos rinkinys. Lietuvos matematikų draugijos darbai, ser.B.. Vilnius : Vilniaus universiteto leidykla. 2025, t. 66, p. 130-138.. ISSN 0132-2818. eISSN 2335-898X |
| Keywords [eng] |
manifolds ; 3-dimensional sphere ; geometric structures ; curvature |
| Abstract [eng] |
The Poincaré conjecture – a problem formulated 120 years ago by the French mathematician Henri Poincaré, and solved at the beginning of this century by G. Perelman – has been one of the major issues of modern mathematics. It simply states that any three-dimensional space which is closed and without holes can be deformed into a three-dimensional sphere. The purpose of this article is to briefly review what we know today about the Poincaré conjecture and its related problems in dimension 3. |
| Published |
Vilnius : Vilniaus universiteto leidykla |
| Type |
Journal article |
| Language |
Lithuanian |
| Publication date |
2025 |
| CC license |
|