Invariant differental forms on compact nilmanifolds |
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Authors: | Necdet Güner |
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Institution: | (1) Department of Mathematics, University of Wisconsin, Madison, 480 Lincoln drive, 53706 Madison, WI, U.S.A. |
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Abstract: | Let N=G/ be a compact nilmanifold, G a connected, simply connected, nilpotent Lie group with its discrete subgroup and Lie algebra
. Let I* (
) denote the invariant differential forms on
.If I* (
) H* (
) is an injective map, then G is abelian and N is a torus. Furthermore, N has a formal minimal model. If N is an even-dimensional compact nilmanifold, it has a Kähler structure and invariant symplectic structure if and only if I* (
) H* (
) is injective. |
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Keywords: | 22E25 53C15 |
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