Global solvability on compact Heisenberg manifolds

Richardson, Leonard F.

doi:10.1090/S0002-9947-1982-0664044-0

Global solvability on compact Heisenberg manifolds
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Trans. Amer. Math. Soc. 273 (1982), 309-317 Request permission

Abstract:

We apply the methods of primary and irreducible Fourier series on compact nilmanifolds to determine the ranges of all first order invariant operators on the compact Heisenberg manifolds. We show that the sums of primary solutions behave better on these manifolds than on any multidimensional torus.

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