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We prove the following result: Let be a complete noncompact manifold of dimension with isotropic curvature bounded below by a positive constant, with scalar curvature bounded above, and with injectivity radius bounded below. Then there is a finite collection of spherical -manifolds and manifolds of the form , where is a discrete subgroup of the isometry group of the round cylinder , such that is diffeomorphic to a (possible infinite) connected sum of members of . This extends a recent work of Huang. The proof uses Ricci flow with surgery on open orbifolds with isolated singularities.

生成讲解博客的中文版本

生成AI智能校验的中文版本