Total Mean Curvature and Submanifolds of Finite Type

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Biharmonic ideal hypersurfaces in Euclidean spaces (2013, background): “1] it was known that every k-harmonic submanifold of Em is either minimal or of infinite type (in the sense of [8]).”
Proper biconservative immersions into the Euclidean space (2013, methodology): “The decomposition of the bitension field with respect to its normal and tangent components was obtained with contributions of [3,7,23,25,26], and for hypersurfaces, it can be summarized in the following theorem.”