Minimum $L^\infty$ Accelerations in Riemannian Manifolds

Lyle Noakes

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arXiv · 1104.2392

Minimum $L^\infty$ Accelerations in Riemannian Manifolds

Lyle Noakes

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Abstract

Riemannian cubics are critical points for the $L^2$ norm of acceleration of curves in Riemannian manifolds $M$. In the present paper the $L^\infty$ norm replaces the $L^2$ norm, and a less direct argument is used to derive necessary conditions analogous to those for Riemannian cubics. The necessary conditions are examined when $M$ is a sphere or a bi-invariant Lie group.

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Lyle Noakes. 2011-04-13. Minimum $L^\infty$ Accelerations in Riemannian Manifolds. https://arxiv.org/abs/1104.2392

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