In this thesis we deal with length minimizing curves in sub-Riemannian manifolds, particularly in a special type of Carnot groups. We will show two results: the first one, called the Height Estimate, gives an upper bound for a quantity of the curve in terms of its excess, and will be used in order to obtain the second result, which is an approximation of such length minimizers by means of a Lipschitz-graph.
Height estimate and Lipschitz-graph approximation of length minimizers
Zaccaron, Michele
2018/2019
Abstract
In this thesis we deal with length minimizing curves in sub-Riemannian manifolds, particularly in a special type of Carnot groups. We will show two results: the first one, called the Height Estimate, gives an upper bound for a quantity of the curve in terms of its excess, and will be used in order to obtain the second result, which is an approximation of such length minimizers by means of a Lipschitz-graph.File in questo prodotto:
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Utilizza questo identificativo per citare o creare un link a questo documento:
https://hdl.handle.net/20.500.12608/26689