Lower bound of null injectivity radius without curvature assumptions in a family of null cones
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DOI: 10.1007/s10455-019-09676-7
Abstract: We establish a new lower bound for the null injectivity radius of a null cone. The idea is to use a function closely related to the null second fundamental form which codifies the directional expansion… read more here.
Keywords: injectivity radius; lower bound; radius; null injectivity ... See more keywords
The maximal injectivity radius of hyperbolic surfaces with geodesic boundary
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DOI: 10.1007/s10711-020-00535-5
Abstract: We give sharp upper bounds on the injectivity radii of complete hyperbolic surfaces of finite area with some geodesic boundary components. The given bounds are over all such surfaces with any fixed topology; in particular,… read more here.
Keywords: injectivity radius; radius hyperbolic; geodesic boundary; hyperbolic surfaces ... See more keywords