Conformal geometry of timelike curves in the (1+2)-Einstein universe
| Autor: | Emilio Musso, Akhtam Dzhalilov, Lorenzo Nicolodi |
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| Rok vydání: | 2016 |
| Předmět: |
Quantitative Biology::Biomolecules
Primary field 010308 nuclear & particles physics Conformal field theory Applied Mathematics Conformal anomaly 010102 general mathematics Mathematical analysis 01 natural sciences Conformal cyclic cosmology General Relativity and Quantum Cosmology symbols.namesake Conformal symmetry 0103 physical sciences symbols Weyl transformation 0101 mathematics Conformal geometry Analysis Closed timelike curve Mathematical physics Mathematics |
| Zdroj: | Nonlinear Analysis: Theory, Methods & Applications. 143:224-255 |
| ISSN: | 0362-546X |
| DOI: | 10.1016/j.na.2016.05.011 |
| Popis: | We study the conformal geometry of timelike curves in the ( 1 + 2 ) -Einstein universe, the conformal compactification of Minkowski 3-space defined as the quotient of the null cone of R 2 , 3 by the action by positive scalar multiplications. The purpose is to describe local and global conformal invariants of timelike curves and to address the question of existence and properties of closed trajectories for the conformal strain functional. Some relations between the conformal geometry of timelike curves and the geometry of knots and links in the 3-sphere are discussed. |
| Databáze: | OpenAIRE |
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