Geometry & Topology Volume 18, issue 4 (2014)

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ISSN (electronic): 1364-0380

ISSN (print): 1465-3060

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Homogeneous Ricci solitons are algebraic

Michael Jablonski

Geometry & Topology 18 (2014) 2477–2486

DOI: 10.2140/gt.2014.18.2477

Bibliography

1	D V Alekseevskiĭ, B N Kimel’fel’d, Structure of homogeneous Riemannian spaces with zero Ricci curvature, Funkcional. Anal. i Priložen. 9 (1975) 5 MR0402650
2	A L Besse, Einstein manifolds, Ergeb. Math. Grenzgeb. 10, Springer, Berlin (1987) MR867684
3	B Chow, D Knopf, The Ricci flow: An introduction, Mathematical Surveys and Monographs 110, Amer. Math. Soc. (2004) MR2061425
4	C He, P Petersen, W Wylie, Warped product Einstein metrics on homogeneous spaces and homogeneous Ricci solitons, arXiv:1302.0246
5	M Jablonski, Concerning the existence of Einstein and Ricci soliton metrics on solvable Lie groups, Geom. Topol. 15 (2011) 735 MR2800365
6	M Jablonski, Moduli of Einstein and non-Einstein nilradicals, Geom. Dedicata 152 (2011) 63 MR2795236
7	M Jablonski, Homogeneous Ricci solitons, arXiv:1109.6556
8	M Jablonski, Strongly solvable spaces, arXiv:1304.5660
9	G R Jensen, The scalar curvature of left-invariant Riemannian metrics, Indiana Univ. Math. J. 20 (1970/1971) 1125 MR0289726
10	R Lafuente, On homogeneous warped product Einstein metrics, arXiv:1403.4901
11	R Lafuente, J Lauret, On homogeneous Ricci solitons, Q. J. Math. 65 (2014) 399
12	R Lafuente, J Lauret, Structure Of homogeneous Ricci solitons and the Alekseevskii conjecture, arXiv:1212.6511
13	J Lauret, Ricci soliton homogeneous nilmanifolds, Math. Ann. 319 (2001) 715 MR1825405
14	J Lauret, The Ricci flow for simply connected nilmanifolds, Comm. Anal. Geom. 19 (2011) 831 MR2886709
15	J Lott, Dimensional reduction and the long-time behavior of Ricci flow, Comment. Math. Helv. 85 (2010) 485 MR2653690
16	P Petersen, W Wylie, On gradient Ricci solitons with symmetry, Proc. Amer. Math. Soc. 137 (2009) 2085 MR2480290