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The Fischer decomposition for Hodge-de Rham systems in Euclidean spaces
Fischer decomposition Clifford analysis Hodge-de Rham equation spherical monogenics
2011/2/25
The classical Fischer decomposition of spinor-valued polynomials is a key result on solutions of the Dirac equation in the Euclidean space Rm.As is well-known, it can be understood as an irreducible d...
Hypersurfaces with small extrinsic radius or large $\lambda_1$ in Euclidean spaces
Mean curvature Reilly inequality Laplacian Spectrum pinching results
2010/12/3
We prove that hypersurfaces of Rn+1 which are almost extremal for the
Reilly inequality on 1 and have Lp-bounded mean curvature (p > n) are Hausdorff close to a sphere, have almost constant mean cur...