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
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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 CC license description