Only one of generalized gradients can be elliptic

Tom 67 / 1997

Jerzy Kalina, Antoni Pierzchalski, Paweł Walczak Annales Polonici Mathematici 67 (1997), 111-120 DOI: 10.4064/ap-67-2-111-120

Streszczenie

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.

Autorzy

  • Jerzy Kalina
  • Antoni Pierzchalski
  • Paweł Walczak

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