References
Alfors, L. and Sario, L.,Riemann Surfaces, Princeton University Press, Princeton (1960).
Chern, S. S.,An elementary proof of the existence of isothermal parameters on a surface, Proc. Amer. Math. Soc., 6 (1955), 771–782.
Chern, S. S. and Goldberg S. I.,On the volume decreasing property of a class of real harmonic mappings, Amer. J. Math., vol. 97, no 1, (1975) 133–147.
Hoffman, D. A.,Surfaces of constant mean curvature in manifolds of Constant Curvature, J. Differential Geometry, 8 (1973) 161–176.
Hopf, H.,Lectures on differential geometry in the Large, Stanford University (1956).
Huber, A.,On subharmonic functions and differential geometry in the Large, Comment. Math. Helv. 32 (1957) 13–72.
Klotz, T. and Osserman, R.,Complete surfaces in E 3 with constant mean curvature, Comment. Math. Helv. 41 (1966–67), 313–318.
Lawson, H. B. Jr.,Complete Minimal Surfaces in S 3, Ann. of Math. 92 (1970).
Scherrer, W.,Die Grundgleichungen der Flächen theorie II, Comment. Math. Helv 32 (1957), 73–84.
Spivak, M.,A comprehensive introduction to differential geometry, Publish on Porish, Inc. Boston, Mass. Vol I–V (1970–1975).
Tribuzy, R. A.,Hopf's Method and Deformations of Surfaces Preserving Mean Curvature, An. Acad. Bras. Ciênc., (1978) 50 (4).
Yau, S.,Submanifolds with constant mean curvature I, Amer. J. Math., 96 (1974) 346–366.
Author information
Authors and Affiliations
About this article
Cite this article
Tribuzy, R.d.A. A characterization of tori with constant mean curvature in space form. Bol. Soc. Bras. Mat 11, 259–274 (1980). https://doi.org/10.1007/BF02584641
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02584641