AbstractWe propose a new, infinite family of tensor fields, whose first representatives are the classical Nijenhuis and Haantjes tensors. We prove that the vanishing of a suitable higher-level Haantjes torsion is a sufficient condition for the integrability of the eigen-distributions of an operator field on a differentiable manifold. This new condition, which does not require the explicit knowl...
AbstractA novel evolving surface finite element method is proposed to compute the evolution of a closed hypersurface $\Gamma\subset\R^d$, $d=2,3$, moving under a prescribed smooth velocity field $u$. An modified velocity $v$ with an artificial tangential motion is proposed to minimize the instantaneous rate of deformation of the evolving surface, i.e., to minimize the energy functional $\int_{\...
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