Geodesic
Only one of generalized gradients can be elliptic
Annales Polonici Mathematici, Tome 67 (1997) no. 2, pp. 111-120 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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Decomposing the space of k-tensors on a manifold M into the components invariant and irreducible under the action of GL(n) (or O(n) when M carries a Riemannian structure) one can define generalized gradients as differential operators obtained from a linear connection ∇ on M by restriction and projection to such components. We study the ellipticity of gradients defined in this way.
DOI : 10.4064/ap-67-2-111-120
Keywords: connection, group representation, Young diagram, elliptic operator

Jerzy Kalina 1 ; Antoni Pierzchalski 1 ; Paweł Walczak 1

1 
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Jerzy Kalina; Antoni Pierzchalski; Paweł Walczak. Only one of generalized gradients can be elliptic. Annales Polonici Mathematici, Tome 67 (1997) no. 2, pp. 111-120. doi: 10.4064/ap-67-2-111-120

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