Fetching the paper…
Reading the bibliography…
In this paper we prove that any $n$-dimensional ($n\ge 4$) complete Bach-flat gradient steady Ricci soliton with positive Ricci curvature is isometric to the Bryant soliton.
R. Bach, Zur Weylschen Relativit atstheorie und der Weylschen Erweiterung des Kr ummungstensorbegriffs , Math. Z. 9
1921
Earlier work this paper cites.
R. S. Hamilton, The Ricci flow on surfaces , Mathematics and general relativity (Santa Cruz, CA, 1986), Contemp. Math., vol. 71, Amer. Math. Soc., Providence, RI, 1988, pp. 237–262
1988
Earlier work this paper cites.
by same author, The formation of singularities in the Ricci flow , Surveys in differential geometry, Vol. II (Cambridge, MA, 1993), Int. Press, Cambridge, MA, 1995, pp. 7–136
1995
Earlier work this paper cites.
H.-D. Cao, Existence of gradient Kähler-Ricci solitons , Elliptic and parabolic methods in geometry (Minneapolis, MN, 1994), A K Peters, Wellesley, MA, 1996, pp. 1–16
1996
Earlier work this paper cites.
G. Perelman, The entropy formula for the Ricci flow and its geometric applications , ArXiv Preprint Server – http://arxiv.org, 2002
2002
Earlier work this paper cites.
B. Chow, S.-C. Chu, D. Glickenstein, C. Guenther, J. Isenberg, T. Ivey, D. Knopf, P. Lu, F. Luo, and L. Ni, The Ricci flow: techniques and applications. Part I. Geometric aspects , Mathematical Surveys and Monographs, vol. 135, American Mathematical Society, Providence, RI, 2007
2007
Cited alongside, same era.
A. L. Besse, Einstein manifolds , Springer–Verlag, Berlin, 2008
2008
Cited alongside, same era.
H.-D. Cao and Q. Chen, On locally conformally flat gradient steady Ricci solitons , ArXiv Preprint Server – http://arxiv.org, to appear in Trans. Amer. Math. Soc. 2010, 2009
2009
Cited alongside, same era.
G. Catino and C. Mantegazza, Evolution of the Weyl tensor under the Ricci flow , ArXiv Preprint Server – http://arxiv.org, to appear in Ann. Inst. Fourier, 2009
2009
Cited alongside, same era.
B.-L. Chen, Strong uniqueness of the Ricci flow , J. Differential Geom. 82
by same author, Recent progress on Ricci solitons , Adv. Lect. Math. (ALM) 11
2010
Later among the works it cites.
H.-D. Cao and D. Zhou, On complete gradient shrinking Ricci solitons , J. Differential Geom. 85
2010
Later among the works it cites.
S. Brendle, Uniqueness of gradient ricci solitons , Mathematical Research Letters 18
2011
Closest in time.
by same author, On Bach flat gradient shrinking ricci solitons , ArXiv Preprint Server – http://arxiv.org, 2011
2011
Closest in time.
X. Chen and Y. Wang, On four-dimensional anti-self-dual gradient ricci solitons , ArXiv Preprint Server – http://arxiv.org, 2011
2011
Closest in time.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
2009
Cited alongside, same era.