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A class of nonsymmetric harmonic Riemannian spaces

Ewa Damek, Fulvio Ricci

math.DGarXiv:math/9207213

Abstract

Certain solvable extensions of H-type groups provide noncompact counterexamples to the so-called Lichnerowicz conjecture, which asserted that ``harmonic'' Riemannian spaces must be rank 1 symmetric spaces.

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