Connectedness at Infinity of Complete Kähler Manifolds
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چکیده
One of the main purposes of this paper is to prove that on a complete Kähler manifold of dimension m, if the holomorphic bisectional curvature is bounded from below by -1 and the minimum spectrum λ1(M) ≥ m2, then it must either be connected at infinity or isometric to R×N with a specialized metric, with N being compact. Generalizations to complete Kähler manifolds satisfying a weighted Poincaré inequality are also being considered Table of
منابع مشابه
Connectedness at Infinity of Complete Kähler Manifolds and Locally Symmetric Spaces
Abstract. One of the main purposes of this paper is to prove that on a complete Kähler manifold of dimension m, if the holomorphic bisectional curvature is bounded from below by -1 and the minimum spectrum λ1(M) ≥ m, then it must either be connected at infinity or diffeomorphic to R × N , where N is a compact quotient of the Heisenberg group. Similar type results are also proven for irreducible...
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تاریخ انتشار 2007