Fetching the paper…
Reading the bibliography…
We survey some of the recent progress on complete gradient shrinking Ricci solitons, including the classifications in dimension three and asymptotic behavior of potential functions as well as volume growths of geodesic balls in higher dimensions.
Gromoll, D. and Meyer, W., On complete open manifolds of positive curvature
1969
Earlier work this paper cites.
Yau, S.-T., Some function-theoretic properties of complete Riemannian manifolds and their applications to geometry
1976
Earlier work this paper cites.
Hamilton, R. S., Three manifolds with positive Ricci curvature
1982
Earlier work this paper cites.
Hamilton, R. S., Four–manifolds with positive curvature operator
1986
Earlier work this paper cites.
Hamilton, R. S., The Ricci flow on surfaces
1988
Earlier work this paper cites.
Koiso, N., On rotationally symmmetric Hamilton’s equation for K a ¨ \ddot{a} hler-Einstein metrics,
1990
Earlier work this paper cites.
Ivey, T., Ricci solitons on compact three-manifolds
1993
Earlier work this paper cites.
Schoen, R. and Yau, S.-T., Lectures on Differential Geometry
1994
Earlier work this paper cites.
Hamilton, R. S., The formation of singularities in the Ricci flow
1995
Earlier work this paper cites.
Li, X.-M., On extensions of Myers’ theorem
1995
Earlier work this paper cites.
Cao, H.-D., Existence of gradient Kähler-Ricci solitons, Elliptic and Parabolic Methods in Geometry
1996
Earlier work this paper cites.
Feldman, M., Ilmanen, T. and Knopf, D., Rotationally symmetric shrinking and expanding gradient Kähler-Ricci solitons , J. Diff. Geom., 65
2003
Cited alongside, same era.
Chow, B. and Knopf, D., The Ricci flow: an introduction, Mathematical Surveys and Monographs, 110
2004
Cited alongside, same era.
Wang, X. J. and Zhu, X. H., K a ¨ \ddot{a} hler-Ricci solitons on toric manifolds with positive first Chern class
2004
Cited alongside, same era.
Morgan, F., Manifolds with density
2005
Cited alongside, same era.
Ni, L., Ancient solution to Kähler-Ricci flow,
2005
Cited alongside, same era.
Cao, H.-D., Geometry of Ricci solitons
2006
Cited alongside, same era.
Cao, H.-D., Singularities of the Ricci flow on 3-manifolds
2008
Later among the works it cites.
Cao, H.-D., Chen, B.-L. and Zhu, X.-P., Recent developments on Hamilton’s Ricci flow
2008
Later among the works it cites.
Cao, H.-D. and Zhu, X. P., Unpublished work
2008
Later among the works it cites.
Eminenti, M., La Nave, G. and Mantegazza. C., Ricci solitons: the equation point of viw
2008
Later among the works it cites.
Fang, F., Man, J. and Zhang, Z., Complete gradient shrinking Ricci solitons have finite topological type
2008
Later among the works it cites.
Fernández-López, M. and García-Río, E., A remark on compact Ricci solitons
2008
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
2006
Cited alongside, same era.
Cao, H.-D. and Zhu, X. P., A complete proof of the Poincaré and geometrization conjectures – application of the Hamilton-Perelman theory of the Ricci flow
2006
Cited alongside, same era.
Chen, X.-X., Lu, P. and Tian, G., A note on uniformization of Riemannian surfaces by Ricci flow
2006
Cited alongside, same era.
Derdzinski, A., A Myers-type theorem and compact Ricci solitons
2006
Cited alongside, same era.
B o ¨ \ddot{o} hm, C., and Wilking, B. Manifolds with positive curvature operator are space forms
2008
Cited alongside, same era.
Cao, H.-D. and Zhou, D., On complete gradient shrinking solitons
Cited in the paper.
Ni, L. and Wallach, N., On a classification of the gradient shrinking solitons
2008
Later among the works it cites.
Ni, L. and Wallach, N., On four-dimensional gradient shrinking solitons
2008
Later among the works it cites.
Wylie, W., Complete shrinking Ricci solitons have finite fundamental group
2008
Later among the works it cites.
Chen, B.-L., Strong uniqueness of the Ricci flow
2009
Closest in time.