Almost Riemannian spaces with small excess


Abstract


Let M be a space in the class of almost Riemannian spaces of positive injectivity radius with curvature uniformly bounded below, diameter uniformly bounded above by D, and the D-excess of M is almost zero. We classify M in terms of C<sup>1</sup>-fibration.

DOI Code: 10.1285/i15900932v18n1p39

Keywords: Alexandrov space; Curvature bounded below; Injectivity radius; Diameter

Classification: 53C20

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