A unified approach to extremal curves on Stiefel manifolds

Abstract: We present a unified framework for studying extremal curves on real Stiefel manifolds. We start with a smooth one-parameter family of pseudo-Riemannian metrics on a product of orthogonal groups acting transitively on Stiefel manifolds. We find Euler-Langrange equations for a class of extremal curves that includes geodesics with respect to different Riemannian metrics and smooth curves of constant geodesic curvature. For some specific values of the parameter in the family of pseudo-Riemannian metrics we recover certain well-known metrics used in the applied mathematics. This is a joint work with K. Hueper (University of Wurzburg, Germany) and F. Silva Leite (University of Coimbra, Portugal)

differential geometrygeometric topologymetric geometry

Audience: researchers in the topic

( paper | video )

---

Virtual seminar on geometry with symmetries

Series comments: Description: Research seminar in Lie group actions in Differential geometry.

The seminar meets every other Wednesday. To accommodate most time zones, the time rotates. The Zoom link is sent to the mailing list around 24 hours before each talk. To subscribe to the mailing list, fill the following form: docs.google.com/forms/d/e/1FAIpQLSdKrJ-nivgjr7ZVJmIY0qkN-VbzTl5NHHNyg6nNsCqjhB-4WA/viewform?usp=sf_link.

---