THE FORM OF THE COMPLETE SURFACES OF CONSTANT MEAN CURVATURE
DOI:
https://doi.org/10.53555/ms.v8i9.2127Abstract
We explained and classified the complete surfaces of constant mean curvature in addition to construct the first examples of complete surface of positive curvature, properly embedded minimal surfaces and we prove that every complete connected immersed surface with positive extrinsic curvature in must be properly embedded, homeomorphic to a sphere or a plane. We followed the analytical mathematical method and we found that the complete surface of positive curvature has multi applications in different fields of science specially in physics.
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