Parallel and totally geodesic hypersurfaces of solvable Lie groups

Mehri Nasehi

Address: Department of Mathematical Sciences, Isfahan University of Technology, Isfahan, 84156-83111, Iran


Abstract: In this paper we consider special examples of homogeneous spaces of arbitrary odd dimension which are given in [5] and [16]. We obtain the complete classification and explicitly describe parallel and totally geodesic hypersurfaces of these spaces in both Riemannian and Lorentzian cases.

AMSclassification: primary 53C42; secondary 53C30.

Keywords: totally geodesic, parallel, hypersurface, solvable Lie group.

DOI: 10.5817/AM2016-4-221