Slovak J. Traces of Tractor Calculus in Sub-Riemannian Geometry (abstract)

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Speaker: Jan Slovák

Title: Traces of Tractor Calculus in Sub-Riemannian Geometry

Abstract:
I will present an approach to sub-Riemannian geodesics motivated by tractor calculus.

In particular, there is a nice system of equations coupling the fields in the sub-Riemannian distribution with fields in its annihilator, and its solutions describe the normal geodesics locally.

I will also try to illustrate how these equations work on some examples.

Joint work in progress with Rod Gover.


Event: Local and Nonlocal Geometry of PDEs and Integrability, 8-12 October 2018, SISSA, Trieste, Italy.
The conference in honor of Joseph Krasil'shchik's 70th birthday.