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Soit une variété de Seifert de groupe fondamental non virtuellement résoluble. Soit
un feuilletage de dimension sur , muni d’une structure projective réelle
transverse. On suppose que satisfait la propriété de relèvement des chemins, i.e.,
que l’espace des feuilles du relèvement de dans le revêtement universel de est
séparé au sens de Hausdorff. On montre qu’à revêtements finis près, est soit une
fibration projective, soit un feuilletage géodésique convexe, soit un feuilletage
horocyclique...
For an eigenfunction of the Laplacian on a hyperbolic Riemann surface, the coefficients of the Fourier expansion are described as intertwining functionals. All intertwiners are classified. A refined growth estimate for the coefficients is given and a summation formula is proved.
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