Totally geodesic submanifolds of Damek–Ricci spaces

Autor:	JeongHyeong Park, Sinhwi Kim, Yuri Nikolayevsky
Rok vydání:	2020
Předmět:	Pure mathematics General Mathematics 010102 general mathematics Mathematics::Metric Geometry Totally geodesic Mathematics::Differential Geometry Negative curvature 0101 mathematics 01 natural sciences Mathematics
Zdroj:	Revista Matemática Iberoamericana. 37:1321-1332
ISSN:	0213-2230
DOI:	10.4171/rmi/1228
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::4dbb5c1add57493a2e215ace75d82391 https://doi.org/10.4171/rmi/1228 Zobrazit plný text záznamu