___

• [1] Akbar MM, Woolgar E. Ricci solitons and Einstein-scalar field theory. Class Quantum Grav 2009; 26: 055015. [2] Cao HD. Limits of solutions to the K¨ahler-Ricci flow. J Diff Geom 1997; 45: 257272.
• [3] Cao HD. Recent progress on Ricci solitons. Recent advances in geometric analysis. Adv Lect Math (ALM) 2009; 11: 1–38.
• [4] Cao HD, Hamilton RS, Ilmanen T. Gaussian densities and stability for some Ricci solitons. Available from: arXiv:math/0404165v1.
• [5] Cao HD, He C. Linear stability of Perelman’s ν-entropy on symmetric spaces of compact type. Available from: arXiv:1304.2697.
• [6] Cao HD, Zhu M. On second variation of Perelman’s Ricci shrinker entropy. Math Ann 2012; 353: 747–763.
• [7] Chave T, Valent G. On a class of compact and non-compact quasi-Einstein metrics and their renormalizability properties. Nuclear Phys B 1996; 478: 758–778.
• [8] Da Prato G, Grisvard P. Equations d’´evolution abstraites nonlineaires de type parabolique. Ann Mat Pura Appl 1979; 120: 329–396 (in French).
• [9] Da Prato G,Lunardi A. Stability, instability and center manifold theorem for fully nonlinear autonomous parabolic equations in Banach space. Arc Rational Mech Anal 1988; 101: 115–141.
• [10] Friedan D. Nonlinear models in 2+ε dimensions. Ann Phys 1985; 163: 318–419.
• [11] Guenther C, Isenberg J, Knopf D. Stability of the Ricci flow at Ricci-flat metrics. Comm Anal Geom 2001; 10: 741–777.
• [12] Guenther C, Isenberg J, Knopf D. Linear stability of homogeneous Ricci solitons. Int Math Res Not 2006; Article ID 96253.
• [13] Hall SJ, Murphy T. On the linear stability of K¨ahler-Ricci solitons. P Am Math Soc 2011; 139: 3327–3337.
• [14] Hamilton RS. Three-manifolds with positive Ricci curvature. J Diff Geom 1982; 17: 255–306.
• [15] Hamilton RS. The Ricci flow on surfaces. J Contemp Math 1988; 7: 1237–1261.
• [16] Haslhofer R. Perelman’s lambda-functional and the stability of Ricci flat metrics. Cal Var Partial Differ Equ 2012; 45: 481–504.
• [17] Haslhofer R, M¨uller R. Dynamical stability and instability of Ricci-flat metrics. Math Ann 2014; 360: 547–553.
• [18] Headrick M, Wiseman T. Ricci flow and black holes. Class Quantum Grav 2006; 23: 6683–6707.
• [19] Jablonski M, Petersen P, Williams MB. Linear stability of algebraic Ricci solitons. Available from: arXiv:math/1309.6017.
• [20] Jablonski M, Petersen P, Williams MB. On the linear stability of expanding Ricci solitons. Available from: arXiv:1409.3251.
• [21] Knopf D. Convergence and stability of locally RN-invariant solutions of Ricci flow.J Geom Anal 2009; 19: 817–846.
• [22] Kr¨oncke K. Stability and instability of Ricci solitons. Cal Var Partial Differ Equ 2015; 53: 265–287.
• [23] Schnurer OC, Schulze F, Simon M. Stability of Euclidean space under Ricci flow. Comm Anal Geom 2008; 16: 127–158.
• [24] Schnurer OC, Schulze F, Simon M. Stability of hyperbolic space under Ricci flow. Comm Anal Geom 2011; 19: 1023–1047.
• [25] Sesum N. Limiting behaviour of the Ricci flow. Available from: arXiv:math/0402194.
• [26] Sesum N. Linear and dynamical stability of Ricci-flat metrics. Duke Math J 2006; 133: 1–26.
• [27] Shi WX. Deforming the metric on complete Riemannian manifolds. J Diff Geom 1989; 30: 223–301.
• [28] Vulcanov DN. Numerical simulations with Ricci flow on surfaces. A review and some recent results. Annals of the University of Craiova 2008; 18: 120–129.
• [29] Ye R. Ricci flows, Einstein metrics and space forms. T Am Math Soc 1993; 338: 871–896.