| 32 | 0 | 6 |
| Downloads | Citas | Reads |
This paper investigates the complete and regular rotation surfaces with constantmean curvature in S￣3.Through solving an order two nonlinear ordinary equation system,constructsa 1-parameter family of complete rotation surfaces with constant mean curvature in S￣3.For the min-imal case,we show that there are numerable indefinitive compact minimal surfaces without bound-ary in this 1-parameter family of surfaces and all the other innumerable indefinitive surfaces in this1-parameter family of surfaces are complete noncompact minimal surfaces.
1LawsonHB．JrConipleteMinimalSurfucesinS~3．AnnofMath，1970，92（2）：335～3742KarcherH，PinkullU，Sterling1．NewMinimalSurfacesinS~3．JDiffGeo，1988，98（2）：169～1853OtsukiT．MinimalHypersurfacesinaRiemannianManifoldofConstantCurvature．AmerJMath，1970，92：45～1734MoriH．MinimalSurfacesofRevolutioninH~3andTheirGlobalStability．IndianaUnivMathJ，1981，30：787～794
Basic Information:
China Classification Code:O186.5
Citation Information:
[1]SunZhenzu,Hu Zejun(Department of System Science & Mathematics, Zhengzhou University).COMPLETE CONSTANT MEAN CURVATURE REVOLUTION SURFACES IN S￣3[J].Journal of Zhengzhou University(Natural Science Edition),1994(04).
Fund Information:
河南省自然科学基金资助项目
1994-12-20
1994-12-20