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arXiv · 0810.4141

A Natural Connection on (2,3) Sub-Riemannian Manifolds

Daniel R. Cole
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Abstract

We build an analogue for the Levi-Civita connection on Riemannian manifolds for sub-Riemannian manfiolds modeled on the Heisenberg group. We demonstrate some geometric properties of this connection to justify our choice and show that this connection is unique in having these properties.

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Daniel R. Cole. 2009-05-15. A Natural Connection on (2,3) Sub-Riemannian Manifolds. https://arxiv.org/abs/0810.4141

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