论文信息 - Stability of hypersurfaces with constant mean curvature - 字舞流文

Stability of hypersurfaces with constant mean curvature

Soit M n compacte, orientable, et soit x:M n →R n+1 une immersion a courbure moyenne constante non nulle. Alors x est stable si et seulement si x(M)⊂R n+1 est une sphere S n ⊂R n+1

M. Carmo | João Lucas Barbosa | Manfredo Carmo | J. L. Barbosa

[1] H. Lawson. Lectures On Minimal Submanifolds , 1980 .

[2] Z. Teng,et al. New examples of constant mean curvature immersions of (2k - 1 -spheres into euclidean 2k-space , 1983 .

[3] Katsuei Kenmotsu,et al. Surfaces of revolution with prescribed mean curvature , 1980 .

[4] Oskar Bolza,et al. Vorlesungen uber Variationsrechnung , 1961 .

[5] Richard Schoen,et al. The structure of complete stable minimal surfaces in 3-manifolds of non-negative scalar curvature , 1980 .

[6] M. Carmo,et al. Stable complete minimal surfaces in $R^3$ are planes , 1979 .

[7] M. Carmo,et al. Stability of minimal surfaces and eigenvalues of the laplacian , 1980 .

[8] D'arcy W. Thompson. On Growth and Form , 1945 .

[9] Reinhold Böhme,et al. Zur Struktur der Lösungsmenge des Plateauproblems , 1973 .