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Minimal Models of Nilmanifolds
Proceedings of the American Mathematical Society
Vol. 106, No. 1 (May, 1989), pp. 65-71
Published by: American Mathematical Society
Stable URL: http://www.jstor.org/stable/2047375
Page Count: 7
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In this paper we first determine minimal models of nilmanifolds associated with given rational nilpotent Lie algebras. Then we study some properties of nilmanifolds through their associated Lie algebras and minimal models. In particular, we will see that a minimal model of a nilmanifold is formal if and only if it is a torus, and thus a non-toral nilmanifold has no complex structure which is birationally isomorphic to a Kähler manifold.
Proceedings of the American Mathematical Society © 1989 American Mathematical Society