On 5-manifolds admitting rank two distributions of Cartan type

Dave, Shantanu; Haller, Stefan

doi:10.1090/tran/7495

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On 5-manifolds admitting rank two distributions of Cartan type

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Haller, Stefan
Max Planck Institute for Mathematics, Max Planck Society;

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https://doi.org/10.1090/tran/7495
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arXiv:1603.09700.pdf
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Dave, S., & Haller, S. (2019). On 5-manifolds admitting rank two distributions of Cartan type. Transactions of the American Mathematical Society, 371(7), 4911-4929. doi:10.1090/tran/7495.

Cite as: https://hdl.handle.net/21.11116/0000-0004-6C4D-E

Abstract

We consider the question whether an orientable 5-manifold can be equipped with a rank two distribution of Cartan type and what 2-plane bundles can be realized. We obtain a complete answer for open manifolds. In the closed case, we settle the topological part of this problem and present partial results concerning its geometric aspects and new examples.