Parallel and totally geodesic hypersurfaces of solvable Lie groups

Mehri Nasehi

Archivum Mathematicum (2016)

  • Volume: 052, Issue: 4, page 221-231
  • ISSN: 0044-8753

Abstract

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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.

How to cite

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Nasehi, Mehri. "Parallel and totally geodesic hypersurfaces of solvable Lie groups." Archivum Mathematicum 052.4 (2016): 221-231. <http://eudml.org/doc/287579>.

@article{Nasehi2016,
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.},
author = {Nasehi, Mehri},
journal = {Archivum Mathematicum},
keywords = {totally geodesic; parallel; hypersurface; solvable Lie group},
language = {eng},
number = {4},
pages = {221-231},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Parallel and totally geodesic hypersurfaces of solvable Lie groups},
url = {http://eudml.org/doc/287579},
volume = {052},
year = {2016},
}

TY - JOUR
AU - Nasehi, Mehri
TI - Parallel and totally geodesic hypersurfaces of solvable Lie groups
JO - Archivum Mathematicum
PY - 2016
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 052
IS - 4
SP - 221
EP - 231
AB - 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.
LA - eng
KW - totally geodesic; parallel; hypersurface; solvable Lie group
UR - http://eudml.org/doc/287579
ER -

References

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