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.

Conformal geometry of timelike curves in the (1+2)-Einstein universe / Dzhalilov, Akhtam; Musso, Emilio; Nicolodi, Lorenzo. - In: NONLINEAR ANALYSIS. - ISSN 0362-546X. - 143:September(2016), pp. 224-255. [10.1016/j.na.2016.05.011]

Conformal geometry of timelike curves in the (1+2)-Einstein universe

NICOLODI, Lorenzo
2016-01-01

Abstract

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.
2016
Conformal geometry of timelike curves in the (1+2)-Einstein universe / Dzhalilov, Akhtam; Musso, Emilio; Nicolodi, Lorenzo. - In: NONLINEAR ANALYSIS. - ISSN 0362-546X. - 143:September(2016), pp. 224-255. [10.1016/j.na.2016.05.011]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11381/2802348
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