Geodesic
Parallel and totally geodesic hypersurfaces of solvable Lie groups
Archivum mathematicum, Tome 52 (2016) no. 4, pp. 221-231

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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.
DOI : 10.5817/AM2016-4-221
Classification : 53C30, 53C42
Keywords: totally geodesic; parallel; hypersurface; solvable Lie group 
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Nasehi, Mehri. Parallel and totally geodesic hypersurfaces of solvable Lie groups. Archivum mathematicum, Tome 52 (2016) no. 4, pp. 221-231. doi: 10.5817/AM2016-4-221

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