A Natural Connection on (2,3) Sub-Riemannian Manifolds
classification
🧮 math.DG
keywords
connectionmanifoldspropertiessub-riemanniananaloguebuildchoicedemonstrate
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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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