Einstein hypersurfaces of Damek-Ricci spaces

Published 19 Apr 2021 in math.DG | (2104.09211v1)

Abstract: Einstein hypersurfaces are ``very rare" in rank-one symmetric spaces. Damek-Ricci spaces may be viewed as the closest and the most natural generalisations of noncompact rank-one symmetric spaces. We prove that no Damek-Ricci space admits an Einstein hypersurface.

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