ar X iv : 0 70 9 . 43 50 v 2 [ m at h . A G ] 1 3 Ju n 20 08 WHICH 3 - MANIFOLD GROUPS ARE KÄHLER GROUPS ?
نویسنده
چکیده
The question in the title, first raised by Goldman and Donaldson, was partially answered by Reznikov. We give a complete answer, as follows: if G can be realized as both the fundamental group of a closed 3-manifold and of a compact Kähler manifold, then G must be finite—and thus belongs to the well-known list of finite subgroups of O(4).
منابع مشابه
ar X iv : 0 70 9 . 43 50 v 1 [ m at h . A G ] 2 7 Se p 20 07 WHICH 3 - MANIFOLD GROUPS ARE KÄHLER GROUPS ?
The question in the title, first raised by Goldman and Donaldson, was partially answered by Reznikov. We give a complete answer, as follows: if G is both a (closed) 3-manifold group and a Kähler group, then G must be finite.
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We prove that the canonical volume K ≥ 1 30 for all 3-folds of general type with χ(O) ≤ 0. This bound is sharp.
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We show that the Kähler-Ricci flow on an algebraic manifold of positive Kodaira dimension and semi-ample canonical line bundle converges to a unique canonical metric on its canonical model. It is also shown that there exists a canonical measure of analytic Zariski decomposition on an algebraic manifold of positive Kodaira dimension. Such a canonical measure is unique and invariant under biratio...
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We investigate the four-dimensional supergravity theory obtained from the compactification of eleven-dimensional supergravity on a smooth manifold of G2 holonomy. We give a new derivation for the Kähler potential associated with the scalar kinetic term of the N = 1 four-dimensional theory. We then examine some solutions of the four-dimensional theory which arise from wrapped M-branes.
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تاریخ انتشار 2008