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We provide the classification of locally conformally flat gradient Yamabe solitons with positive sectional curvature.
Herrero, M. A., ; Pierre, M., The Cauchy problem for u t = Δ u m u_{t}=\Delta u^{m} when 0 < m < 1 0<m<1
1985
Earlier work this paper cites.
Galaktionov, V. A.; Posashkov, S. A., On the nonlinear fast diffusion equation on ℝ N \mathbb{R}^{N}
1986
Earlier work this paper cites.
Chow, B., The Yamabe flow on locally conformally flat manifolds with positive Ricci curvature
1992
Earlier work this paper cites.
Hamilton, R., Eternal solutions to the Ricci flow
1993
Earlier work this paper cites.
Hamilton, R., The Harnack estimate for the Ricci flow
1993
Earlier work this paper cites.
Ye, R. Global existence and convergence of Yamabe flow
1994
Cited alongside, same era.
del Pino, M.; Sáez, M., On the extinction profile for solutions of u t = Δ u ( N − 2 ) / ( N + 2 ) u_{t}=\Delta u^{(N-2)/(N+2)} . Indiana Univ. Math. J. 50 (2001), no. 1, 611–628
2001
Cited alongside, same era.
Schwetlick, H.; Struwe, M. Convergence of the Yamabe flow for ”large” energies
2003
Cited alongside, same era.
Angenent,S., Knopf,D., An example of neckpinching for Ricci flow on S n + 1 S^{n+1}
2004
Cited alongside, same era.
Brendle, S. Convergence of the Yamabe flow for arbitrary initial energy
2005
Cited alongside, same era.
Cao,H.-D., Chen,Q., On locally conformally flat gradient steady Ricci solitons
Cited in the paper.
Carron,G., Herzlich,M., Conformally flat manifolds with non negative Ricci curvature
2006
Later among the works it cites.
Vázquez, J. L., Smoothing and decay estimates for nonlinear diffusion equations, Oxford Lecture Series in Mathematics and its Applications, 33, Oxford University Press, Oxford, 2006
2006
Later among the works it cites.
Brendle, S. Convergence of the Yamabe flow in dimension 6 and higher
2007
Later among the works it cites.
Daskalopoulos, P., Sesum, N., On the extinction profile of solutions to fast-diffusion
2008
Later among the works it cites.
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