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- W1752125655 abstract "In 1968, Milnor conjectured that a complete noncompact manifold with nonnegative Ricci curvature has a finitely generated fundamental group. The author applies the Excess Theorem of Abresch and Gromoll (1990), to prove two theorems. The first states that if such a manifold has small linear diameter growth then its fundamental group is finitely generated. The second states that if such a manifold has an infinitely generated fundamental group then it has a tangent cone at infinity which is not polar. A corollary of either theorem is the fact that if such a manifold has linear volume growth, then its fundamental group is finitely generated." @default.
- W1752125655 created "2016-06-24" @default.
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- W1752125655 date "2000-01-01" @default.
- W1752125655 modified "2023-10-11" @default.
- W1752125655 title "Nonnegative Ricci curvature, small linear diameter growth and finite generation of fundamental groups" @default.
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- W1752125655 doi "https://doi.org/10.4310/jdg/1214339792" @default.
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