References
- Hamilton RS. Three-manifolds with positive Ricci curvature. J Differ Geom. 1982;17:255–306. doi: 10.4310/jdg/1214436922
- De Turk DM. Deforming metrics in the direction of their Ricci tensors. J Differ Geom. 1983;18:157–162. doi: 10.4310/jdg/1214509286
- Perelman G. The entropy formula for the Ricci flow and its geometric applications. 2002. Available from: http://arxiv.org/abs/math.DG/0211159
- Cao X-D. Eigenvalues of (−Δ+R2) on manifolds with nonnegative curvature operator. Math Ann. 2007;337(2):435–441. doi: 10.1007/s00208-006-0043-5
- Abolarinwa A. Eigenvalues of weighted-Laplacian under the extended Ricci flow. Adv Geom. 2018. Available from: https://doi.org/10.1515/advgeom-2018-0022.
- Abolarinwa A. Evolution and monotonicity of the first eigenvalue of p-Laplacian under the Ricci-harmonic flow. J Appl Anal. 2015;21:147–160. doi: 10.1515/jaa-2015-0013
- Wu JY. First eigenvalue monotonicity for the p-Laplace operator under the Ricci flow. Acta Math Sin Eng Ser. 2011;27(8):1591–1598. doi: 10.1007/s10114-011-8565-5
- Nadirashvili NS. Rayleigh's conjecture on the principal frequency of the clamped plate. Arc Ration Mech Anal. 1995;129:1–10. doi: 10.1007/BF00375124
- Talenti G. On the first eigenvalue of the clamped plate. Ann Math Pura Appl. 1981;4(129):265–280. doi: 10.1007/BF01762146
- Chow B, Knopf D. The Ricci flow: an introduction. New York: 2004. (Mathematical surveys and monographs; 110).
- Vaclovsky JA. Topics in Riemannian geometry. Math 865, Fall 2007.