October 2, 2025Theoretical and Applied MechanicsOpen Access

Rolling geodesics on symmetric semi-Riemannian spaces

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The rolling equations for symmetric semi-Riemannian manifolds resemble those of spheres on horizontal planes.
These equations are described by a left-invariant distribution on a Lie group with specific growth properties.
Rolling geodesics extend sub-Riemannian geodesics in Riemannian symmetric spaces, forming interesting mathematical curves.
The extremal curves are solutions to a completely integrable Hamiltonian system found in the cotangent bundle.

Authors

VJVelimir JurdjevicUniversity of Toronto

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Implication

This research reveals that rolling equations in symmetric semi-Riemannian manifolds reflect those for spheres, indicating deep mathematical structures.

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Velimir Jurdjevic (2025) studied this question.

synapsesocial.com/papers/68de79685b556a9128e1abe7 https://doi.org/10.2298/tam250408015j

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Implication

This research reveals that rolling equations in symmetric semi-Riemannian manifolds reflect those for spheres, indicating deep mathematical structures.

Rolling geodesics on symmetric semi-Riemannian spaces

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Implication

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Rolling geodesics on symmetric semi-Riemannian spaces

Key Points

Discussion

Implication

Cite This Study

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