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- W4387430690 abstract "We generalize a sharp lower bound of the injectivity radius in noncompact nonnegatively curved Riemannian manifolds found by v{S}arafutdinov to the setting of Alexandrov spaces. The injectivity radius either coincides with that of souls or is not less than $ pi K^{-1/2} $, where $ K $ is an upper curvature bound. We give an introduction to the theory of the soul of Alexandrov spaces and compare two injectivity radii." @default.
- W4387430690 created "2023-10-08" @default.
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- W4387430690 date "2023-10-05" @default.
- W4387430690 modified "2023-10-09" @default.
- W4387430690 title "The Injectivity Radius of Souls of Alexandrov Spaces" @default.
- W4387430690 doi "https://doi.org/10.48550/arxiv.2310.03369" @default.
- W4387430690 hasPublicationYear "2023" @default.
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