About action of transformation group of Lipshitz manifold on L_p-spaces of differential forms
by
K.V. Storojouk
Sobolev Institute of Mathematics SB RAS

THEOREM.

Let M be a compact Lipshitz Riemannian manifold, 1 <= p < \infty, L_p^k(M) - the space of p-integrable differential forms of degree k on M.

Let G subset Aut(M) be a group of Lipshitzean mapping and there exists K < \infty that lip(g) < K  for allg in G. (By Ascoli's theorem this G is a compact in C⁰-topology).

Then mapping F: G×L_p^k(M) --> L_p^k(M), defined by the formula F(g, \omega)=g^*\omega is continuous.

Date received: February 21, 2000

Copyright © 2000 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cadw-35.