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Fundamental groups of open manifolds of non-negative Ricci curvature
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Pan, Jiayin. Fundamental groups of open manifolds of non-negative Ricci curvature. Retrieved from https://doi.org/doi:10.7282/T3RJ4NWG

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TitleFundamental groups of open manifolds of non-negative Ricci curvature
NamePan, Jiayin (author); Rong, Xiaochun (chair); Rutgers University; School of Graduate Studies
Date Created2018
Other Date2018-05 (degree)
SubjectMathematics, Curvature--Mathematical models
Extent1 online resource (vi, 109 p.)
DescriptionWe study the fundamental groups of open n-manifolds of non-negative Ricci curvature, via the method of Gromov-Hausdorff convergence. In 1968, Milnor conjectured that any open n-manifold M of non-negative Ricci curvature has a finitely generated fundamental group. In this thesis, we verify this conjecture under various geometrical conditions. We show that the Milnor conjecture holds when M has dimension 3, or when the Riemannian universal cover of M has Euclidean volume growth and the unique tangent cone at infinity, or when pi_1(M)-action on the Riemannian universal cover satisfies the no small almost subgroup condition.
NotePh.D.
NoteIncludes bibliographical references
Noteby Jiayin Pan
Genretheses, ETD doctoral
Persistent URLhttps://doi.org/doi:10.7282/T3RJ4NWG
Languageeng
CollectionSchool of Graduate Studies Electronic Theses and Dissertations
Organization NameRutgers, The State University of New Jersey
RightsThe author owns the copyright to this work.
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