journal6 ›› 2001, Vol. 22 ›› Issue (3): 73-76.

• Mathematics • Previous Articles     Next Articles

The Global Properties of Surface With Constant Mean Curvature


  1. ( China College of Insurance Management, Changsha 410114, Hunan Chian)
  • Online:2001-09-15 Published:2013-01-05
  • About author:Wu Jin-wen( 1956- ) , born in Nan county, Hunan Province, associate professor at CCIM, major in the differnetial manifold and insurance actuarial science.

Abstract: In this paper , for surfaces with constant mean curvature, we studied their global propert ies. When they satisfy some pinching conditions, results are that :1) If M be a topological two sphere, then either M is flat , totally umbilic or M is a minimal surface. 2) If M be a totally real minimal surface of a ka..hler suface, then either M is the standard embedding of RP2 into CP2 or M is totally geodesic or flat.

Key words: surface, mean curvature, constant curved manifold, flat, totally umbilic, minimal surface, holomorphic sectional curvature

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