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In [4] we defined a notion of parallel transport along superpaths in a supermanifold coming from a vector bundle with connection over the supermanifold. In this note, we show that the converse is also...
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...