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arXiv · 0806.3451

On The Existence of Globally Solvable Vector Fields in Smooth Manifolds

Jose Ruidival dos Santos Filho·Joaquim Tavares
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Abstract

Let $(\mathrm{M}, ω_{0})$ be a connected paracompact smooth oriented manifold. We establish a necessary and sufficient conditions on Lie subalgebra $\mathfrak{a}$ of $\mathrm{T M}$ such that its orbits becomes diffeomorphic to an open convex set of $\mathbb{R}^{n}$, where $n$ is the orbit dimension.

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Jose Ruidival dos Santos Filho, Joaquim Tavares. 2010-08-30. On The Existence of Globally Solvable Vector Fields in Smooth Manifolds. https://arxiv.org/abs/0806.3451

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