Cimpoiasu, Rodica; Constantinescu, Radu Symmetries and invariants for the 2D-Ricci flow model. (English) Zbl 1124.53027 J. Nonlinear Math. Phys. 13, No. 1-4, 285-292 (2006). The paper studies die Lie symmetries and the associated invariants of the two dimensional model for the Ricci flow equations. Using the deduced invariants and imposing the similarity condition, the authors are able to obtain very simple solutions of the 2D Ricci flow equation. For example stationary solutions and solutions that propagate linearly in time are given. Reviewer: Johannes Viktor Feitzinger (Bochum) Cited in 6 Documents MSC: 53C44 Geometric evolution equations (mean curvature flow, Ricci flow, etc.) (MSC2010) 35K55 Nonlinear parabolic equations Keywords:Ricci flow equations; Lie symmetry operator; sector of invariance PDFBibTeX XMLCite \textit{R. Cimpoiasu} and \textit{R. Constantinescu}, J. Nonlinear Math. Phys. 13, No. 1--4, 285--292 (2006; Zbl 1124.53027) Full Text: DOI arXiv References: [1] Bakas I, Fortsch. Phys. 52 pp 464– (2004) · Zbl 1052.81061 [2] Euler M, Symmetry Nonlinear Math. Phys. 1 pp 70– (1997) [3] Leach P G L, J. Nonlinear Math. Phys. 7 pp 445– (2000) · Zbl 0970.35148 [4] Leach P G L, J. Math. Anal. Appl. 251 pp 587– (2001) · Zbl 0992.34027 [5] Matincan S G, Sov. Phys. JETP 53 pp 421– (1981) [6] Olver P J, Application of Lie groups to differential equations (1993) · Zbl 0785.58003 [7] Struckmeier J, Phys. Rev. E 66 (2002) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.