The geometry of conformal timelike geodesics in the Einstein universe

Eshkobilov, Olimjon; Musso, Emilio; Nicolodi, Lorenzo

doi:10.1016/j.jmaa.2020.124730

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The Total Cr Twist Functional1

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2023

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“…Remark 3.5. For the application of Griffiths' approach to other geometric variational problems, the reader is referred to [9,11,19,26,27,28,30]. 4 The CR twist of a critical curve…”

Section: The Total Cr Twist Functionalmentioning

confidence: 99%

On the Total CR Twist of Transversal Curves in the 3-Sphere

Musso,

Nicolodi

2023

SIGMA

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We investigate the total CR twist functional on transversal curves in the standard CR 3-sphere $\mathrm S^3 \subset \mathbb C^2$. The question of the integration by quadratures of the critical curves and the problem of existence and properties of closed critical curves are addressed. A procedure for the explicit integration of general critical curves is provided and a characterization of closed curves within a specific class of general critical curves is given. Experimental evidence of the existence of infinite countably many closed critical curves is provided.

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“…Remark 3.5. For the application of Griffiths' approach to other geometric variational problems, the reader is referred to [9,11,19,26,27,28,30]. 4 The CR twist of a critical curve…”

Section: The Total Cr Twist Functionalmentioning

confidence: 99%

On the Total CR Twist of Transversal Curves in the 3-Sphere

Musso,

Nicolodi

2023

SIGMA

View full text Add to dashboard Cite

show abstract

The geometry of conformal timelike geodesics in the Einstein universe

Cited by 1 publication

References 28 publications

On the Total CR Twist of Transversal Curves in the 3-Sphere

On the Total CR Twist of Transversal Curves in the 3-Sphere

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