Autor:	Nasehi, Mehri
Jazyk:	angličtina
Předmět:	matematika mathematics články journal articles hypersurface totally geodesic hypersurface parallel geodesic hypersurfaces two-step homogeneous nilmanifold
Druh dokumentu:	Non-fiction
ISSN:	0011-4642
Abstrakt:	Abstract: In this paper we study parallel and totally geodesic hypersurfaces of two-step homogeneous nilmanifolds of dimension five. We give the complete classification and explicitly describe parallel and totally geodesic hypersurfaces of these spaces. Moreover, we prove that two-step homogeneous nilmanifolds of dimension five which have one-dimensional centre never admit parallel hypersurfaces. Also we prove that the only two-step homogeneous nilmanifolds of dimension five which admit totally geodesic hypersurfaces have three-dimensional centre.
Databáze:	Katalog Knihovny AV ČR
Externí odkaz:	Online Access Full text from SpringerLink