Totally geodesic submanifolds of Damek-Ricci spaces

Sinhwi Kim,Yuri Nikolayevsky,JeongHyeong Park

REVISTA MATEMATICA IBEROAMERICANA（2021）

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摘要

We classify totally geodesic submanifolds of Damek-Ricci spaces and show that they are either subgroups ("smaller" Damek-Ricci spaces) or isometric to rank-one symmetric spaces of negative curvature.

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关键词

Totally geodesic submanifold,Damek-Ricci space

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