Article ID Journal Published Year Pages File Type
4606220 Differential Geometry and its Applications 2012 5 Pages PDF
Abstract

In this paper, we study the curvature properties of almost complex curves M   in the nearly Kaehler six-sphere by using the harmonic sequences theory. For compact almost complex curve of type (I), if the Gaussian curvature K⩽16, then K=16. A basic valued distribution theorem of Gaussian curvature for almost complex curve of type (II) is given. For almost complex curve of type (III), we show that if M   is complete and Gaussian curvature K⩾0K⩾0, then K=0K=0; and if M   is compact and K⩽0K⩽0, then K=0K=0.

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Physical Sciences and Engineering Mathematics Analysis
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