The Weyl Curvature Tensor of Hypersurfaces Under the Mean Curvature Flow

[1] BRAKKE K. A.: The motion of surface by by its mean curvature. Mathematical Notes Vol. 20, Princeton University Press, Princeton, NJ, 1978.Search in Google Scholar

[2] CHOW, B.—LU, P. — NI, L.: Hamilton’s Ricci Flow. In: Graduate Studies in Mathematics, Vol. 77, AMS, Providence RI, Science Press Beijing, New York, 2006.Search in Google Scholar

[3] HAMILTON, R. S.: Three-manifolds with positive Ricci curvature. J. Differ. Geom. 17 (1982), 255–306.Search in Google Scholar

[4] HAMILTON, R. S.: Four-manifolds with positive curvature operator, J. Differ. Geom. 24 (1986), 153–179.10.4310/jdg/1214440433Search in Google Scholar

[5] HUISKEN, G.: Flow by mean curvature of convex surfaces into sphere, J. Differ. Geom. 20 (1984), 237–266.10.4310/jdg/1214438998Search in Google Scholar

[6] HUISKEN, G.: Asymptotic behavior for singularities of the mean curvature flow, J. Differ. Geom. 31 (1990), 285–299.10.4310/jdg/1214444099Search in Google Scholar

[7] CATINO, G.—MANTEGAZZA, C.: The evolution of the Weyl tensor under the Ricci flow, Ann. Inst. Fourier (Grenoble) 61 (2012), no. 4, 1407–1435.Search in Google Scholar

[8] MULLINS, W. W.: Two-dimensional motion of idealized grain boundaries, J. Appl. Phys. 27 (1956), 900–904.10.1063/1.1722511Search in Google Scholar

[9] YANO, K.—KON, M.: Structures on manifolds. Series in Pure Mathematics Vol. 3.World Scientific Publishing Co., Singapor, 1984.10.1142/0067Search in Google Scholar