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Biharmonic submanifolds with parallel mean curvature vector field in spheres
Biharmonic submanifolds parallel mean curvature vector field
2010/11/12
We present some results on the boundedness of the mean curvature of proper biharmonic submanifolds in spheres. A partial classification result for proper biharmonic submanifolds with parallel mean cur...
Links between different analytic descriptions of constant mean curvature surfaces
mean curvature math
2010/11/1
Transformations between different analytic descriptions of constant mean curvature (CMC) surfaces are established. In particular, it is demonstrated that the system \[ \begin{split} &\partial \psi_{1...