: Mathematics: injectivity radius

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geometry > differential geometry > differentiable manifold > Riemannian manifold > injectivity radius

topology > differential topology > differentiable manifold > Riemannian manifold > injectivity radius

geometry > differential geometry > Riemannian geometry > Riemannian manifold > injectivity radius

injectivity radius

The injectivity radius at a point p of a Riemannian manifold is the largest radius for which the exponential map at p is a diffeomorphism. The injectivity radius of a Riemannian manifold is the infimum of the injectivity radii at all points.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Glossary_of_Riemannian_and_metric_geometry#I)

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