L. Noakes

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math.DG2011

Conditional Extremals

Lyle Noakes

Imagine that measurements are made at times $t_{0}$ and $t_{1}$ of the trajectory of a physical system whose governing laws are given approximately by a class $A$ of so-called {…

math.DG2011

Nearly Geodesic Riemannian Cubics in SO(3)

Lyle Noakes

{\em Riemannian cubics} are curves in a manifold $M$ that satisfy a variational condition appropriate for interpolation problems. When $M$ is the rotation group SO(3), Riemannian c…

math.DG2011

Minimum $L^{\infty}$ Accelerations in Riemannian Manifolds

Lyle Noakes

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, an…

Conditional Extremals

Nearly Geodesic Riemannian Cubics in SO(3)

Minimum L∞ Accelerations in Riemannian Manifolds

Minimum $L^{\infty}$ Accelerations in Riemannian Manifolds