Lower curvature bounds, Toponogov's theorem, and bounded topology. II

We provide a structure theorem for Carnot-Carathéodory balls defined by a family of Lipschitz continuous vector fields. From this result a proof of Poincaré inequality follows.

The best constant in the Khintchine inequality for complex Steinhaus variables, the case p=1

Jerzy Sawa (1985)

Studia Mathematica

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Convergence theorem for riemannian manifolds with boundary

Shigeru Kodani (1990)

Compositio Mathematica

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