most citedGeodesics and admissible-path spaces in Carnot Groups

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math.DG2013★ 11 cited

Geodesics and admissible-path spaces in Carnot Groups

A. A. Agrachev, A. Gentile, A. Lerario

We study the topology of admissible-loop spaces on a step-two Carnot group G. We use a Morse-Bott theory argument to study the structure and the number of geodesics on G connecting…