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Zbl 0738.53029
Colin de Verdière, Yves
Calcul du spectre de certaines nilvariétés compactes de dimension 3. (Spectral calculus for certain compact nilmanifolds of dimension 3). (French)
[J] Sémin. Théor. Spectrale Géom., Chambéry-Grenoble 1983-1984, No.V, 6 p. (1984).

Let but de cet exposé est le calcul du spectre du laplacien d'une variété riemannienne compacte $M=\Gamma\backslash G$ où $G$ est le groupe de Heisenberg de dimension 3 muni d'une métrique invariante à gauche et $\Gamma$ un sous-groupe discret opérant par translation à gauche sur $G$.
MSC 2000:
*53C20 Riemannian manifolds (global)
58J50 Spectral problems; spectral geometry; scattering theory
53C35 Symmetric spaces (differential geometry)

Keywords: Laplacian; Heisenberg group; invariant metric

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Scientific prize winners of the ICM 2010
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Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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