Geodesic
Ricci Yang-Mills Solitons on Nilpotent Lie Groups
Journal of Lie theory, Tome 23 (2013) no. 1, pp. 177-202 Cet article a éte moissonné depuis la source Heldermann Verlag

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The purpose of this paper is to introduce the Ricci Yang-Mills soliton equations on nilpotent Lie groups N. As in the case of Ricci solitons, we demonstrate that such metrics arise from automorphisms of N/Z, where Z is the center of N. Additionally, using techniques from Geometric Invariant Theory, we produce a characterization of Ricci Yang-Mills solitons on 2-step nilpotent Lie groups as critical points of a natural functional.
Classification : 53C44, 22E25
Mots-clés : Ricci Yang-Mills, soliton, nilpotent, Lie group, principal bundle 
@article{JLT_2013_23_1_JLT_2013_23_1_a9,
     author = {M. Jablonski and A. Young },
     title = {Ricci {Yang-Mills} {Solitons} on {Nilpotent} {Lie} {Groups}},
     journal = {Journal of Lie theory},
     pages = {177--202},
     year = {2013},
     volume = {23},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/JLT_2013_23_1_JLT_2013_23_1_a9/}
}
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M. Jablonski; A. Young . Ricci Yang-Mills Solitons on Nilpotent Lie Groups. Journal of Lie theory, Tome 23 (2013) no. 1, pp. 177-202. http://geodesic.mathdoc.fr/item/JLT_2013_23_1_JLT_2013_23_1_a9/