A class of nonsymmetric harmonic Riemannian spaces
classification
🧮 math.DG
math.RT
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spacesharmonicriemannianassertedcertainclassconjecturecounterexamples
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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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