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- W2567142530 abstract "In this paper we show that if �� is a complete two dimensional Riemannian manifold with nonnegative Gaussian curvature. Then the number of the reduced words of length ≤ �� of any finitely generated subgroup of �� 1(��) has an upper bound of polynomial of order two. As an application of the upper bound, we show that torus with genius greater than 1 does not admit a nonnegative Riemannian metric." @default.
- W2567142530 created "2017-01-06" @default.
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- W2567142530 date "2015-01-01" @default.
- W2567142530 modified "2023-09-27" @default.
- W2567142530 title "An Upper Bound on Complete Two Dimensional Manifolds" @default.
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