Cusp closing of hyperbolic manifolds |
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| Authors: | S V Buyalo V L Kobel'skii |
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| Institution: | (1) St. Petersburg Department, Steklov Mathematical Institute, Fontanka 27, 191011 St. Petersburg, Russia;(2) Department of Mathematics, Russian Pedagogical University, Moika 48, 191186 St. Petersburg, Russia |
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| Abstract: | A general method to produce infinitely many pairwise homotopically nonequivalent closed manifolds using the cusp closing construction is presented. An infinite sequence of closed homotopically nonequivalent real analytic Riemannian 5-manifolds with uniformly bounded volumes and uniformly bounded nonpositive sectional curvatures, which are allowed to vanish along codimension two submanifolds only, is constructed using this method.Both authors were supported in part by the Grant R24000 from the International Science Foundation. |
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| Keywords: | 15A75 53C20 57R65 |
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