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arXiv · 1909.02676

An atlas adapted to the Toda flow

David Martínez Torres·Carlos Tomei
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Abstract

We introduce an atlas adapted to the Toda flow on the manifold of full flags of any non-compact real semisimple Lie algebra, and on its Hessenberg-type submanifolds. In our local coordinates the Toda flow becomes linear. We use these new coordinates to show that the Toda flow on the manifold of full flags is Morse-Smale, which generalizes the main result of \cite{CSS1} to arbitrary non-compact real semisimple Lie algebras. As a byproduct we describe new features of classical constructions in matrix theory.

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David Martínez Torres, Carlos Tomei. 2019-09-05. An atlas adapted to the Toda flow. https://arxiv.org/abs/1909.02676

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