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arXiv · 2104.09211

Einstein hypersurfaces of Damek-Ricci spaces

Sinhwi Kim·Yuri Nikolayevsky·JeongHyeong Park
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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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Sinhwi Kim, Yuri Nikolayevsky, JeongHyeong Park. 2021-04-19. Einstein hypersurfaces of Damek-Ricci spaces. https://doi.org/10.1016/j.geomphys.2021.104278

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