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- W1971438052 abstract "In this paper we study submanifolds with nonpositive extrinsic curvature in a positively curved manifold. Among other things we prove that, if ({Ksubset (S^n, g)}) is a totally geodesic submanifold of codimension 2 in a Riemannian sphere with positive sectional curvature where n ≥ 5, then K is homeomorphic to S n–2 and the fundamental group of the knot complement ({pi _1(S^n-K)cong mathbb{Z}})." @default.
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- W1971438052 date "2009-11-25" @default.
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- W1971438052 title "Knots in Riemannian manifolds" @default.
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- W1971438052 doi "https://doi.org/10.1007/s00209-009-0627-3" @default.
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