The geometry of conformal timelike geodesics in the Einstein universe

DOI10.1016/j.jmaa.2020.124730zbMath1464.53093OpenAlexW3094754128MaRDI QIDQ1995879

Olimjon Eshkobilov, Emilio Musso, Lorenzo Nicolodi

Publication date: 25 February 2021

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2020.124730

zbMATH Keywords

Einstein universetime-like curvesLorentz conformal geometryconformal strain functionalconformal timelike geodesicsLorentz conformal compactification

Mathematics Subject Classification ID

General relativity (83C99) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

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Cites Work

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• On the gravitization of quantum mechanics. II: Conformal cyclic cosmology
• On the geometry of curves and conformal geodesics in the Möbius space
• Surfaces in classical geometries. A treatment by moving frames
• Invariant signatures of closed planar curves
• Conformal invariants for curves and surfaces in three dimensional space forms
• Conformal curvatures of curves in \(\mathbb R^{n+1}\)
• Quantization of the conformal arclength functional on space curves
• Coisotropic variational problems
• Elliptic functions and applications
• Conformal arc-length as \(\frac 1 2 \)-dimensional length of the set of osculating circles
• Critical Robertson-Walker universes
• On the restricted conformal group of the \((1 + n)\)-Einstein static universe
• Conformal geometry of timelike curves in the \((1 + 2)\)-Einstein universe
• The geometry of canal surfaces and the length of curves in de Sitter space
• A primer on the (2+1) Einstein universe
• Submanifolds of the Möbius space
• Submanifolds of the MÖBIUS space, II FRENET Formulas and Curves of Constant Curvatures
• The Conformal Arclength Functional
• The Large Scale Structure of Space-Time
• The Conformal Theory of Curves
• Lie sphere geometry. With applications to submanifolds