Skip to main
Math equations
George Mason University
Events

Geometry MMA Seminar: Metric lines in the jet space

Dec 9, 2024, 10:30 - 11:30 AM

 

Speaker:  Alejandro Bravo-Doddoli, University of Michigan

Title:  Metric lines in the jet space

 

Abstract:  In the framework of sub-Riemannian Manifolds, a relevant question is: what are the metric lines (isometric embedding of the real line)?

The space of $k$-jets of a real function of one real variable $x$ admits the structure of a Carnot group. Every Carnot group is a sub-Riemannian manifold, and so is the $k$-jets. This talk aims to present a partial result about classifying the metric lines within the $k$-jets and introduce the sequence method, a new approach to the problem.

 

Time: Monday, December 9, 2024 – 10:30am-11:30am

Place: Exploratory Hall, Room 4106