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Isometry groups of six-dimensional filiform nilmanifolds | ||
International Journal of Group Theory | ||
مقاله 19، دوره 12، شماره 2، شهریور 2023، صفحه 67-80 اصل مقاله (402.54 K) | ||
نوع مقاله: Ischia Group Theory 2020/2021 | ||
شناسه دیجیتال (DOI): 10.22108/ijgt.2022.131891.1767 | ||
نویسندگان | ||
Agota Figula* 1؛ Sameer Annon Abbas2 | ||
1Institute of Mathematics, University of Debrecen, Debrecen, Hungary | ||
2Doctoral School of Mathematical and Computational Sciences, University of Debrecen, H-4002 Debrecen, P.O.Box 400, Debrecen, Hungary | ||
چکیده | ||
In this paper, we classify up to isometry the connected and simply connected Riemannian nilmanifolds on six-dimensional filiform Lie groups and we compute the corresponding isometry groups. | ||
کلیدواژهها | ||
filiform nilpotent Lie groups؛ filiform metric Lie algebras؛ isometry groups of nilmanifolds؛ the group of orthogonal automorphisms of metric Lie algebras | ||
مراجع | ||
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[9] E. Wilson, Isometry groups on homogeneous nilmanifolds, Geom. Dedicata, 12 (1982) 337-346. | ||
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