2 papers
math.DG2021
Einstein hypersurfaces of Damek-Ricci spaces
Sinhwi Kim, Yuri Nikolayevsky, JeongHyeong Park
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 sy…
math.DG2019
Totally geodesic submanifolds of Damek-Ricci spaces and Einstein hypersurfaces of the Cayley projective plane
Sinhwi Kim, Yuri Nikolayevsky, JeongHyeong Park
We classify totally geodesic submanifolds of Damek-Ricci spaces and show that they are either homogeneous (such submanifolds are known to be "smaller" Damek-Ricci spaces) or isomet…