Why are normal sub-Riemannian extremals locally minimizing?
نویسندگان
چکیده
منابع مشابه
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Take an n-dimensional manifold M . Endow it with a distribution, by which I mean a smooth linear subbundle D ⊂ TM of its tangent bundle TM . So, for x ∈ M , we have a k-plane Dx ⊂ TxM , and by letting x vary we obtain a smoothly varying family of k-planes on M . Put a smoothly varying family g of inner products on each k-plane. The data (M,D, g) is, by definition, a sub-Riemannian geometry. Tak...
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ژورنال
عنوان ژورنال: Differential Geometry and its Applications
سال: 2018
ISSN: 0926-2245
DOI: 10.1016/j.difgeo.2018.06.005