Parallel and totally geodesic hypersurfaces of 5-dimensional 2-step homogeneous nilmanifolds

Title:

Parallel and totally geodesic hypersurfaces of 5-dimensional 2-step homogeneous nilmanifolds

Creator:

Nasehi, Mehri

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:0d24aab6-5805-4922-be84-289b213c2221
uuid:0d24aab6-5805-4922-be84-289b213c2221
issn:0011-4642

Subject:

matematika, mathematics, hypersurface, totally geodesic hypersurface, parallel geodesic hypersurfaces, two-step homogeneous nilmanifold, 13, and 51

Type:

model:article and TEXT

Format:

print, bez média, and svazek

Description:

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., Mehri Nasehi., and Obsahuje seznam literatury

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

547-559

Source:

Czechoslovak Mathematical Journal | 2016 Volume:66 | Number:2

Harvested from:

CDK

Metadata only:

false