New theorem on critical exponents for group actions.
problem Critical exponents of group actions.
method Proving critical exponents coincide under co-amenability condition.
result Generalizes previous results on critical exponents.
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New theorem on critical exponents for group actions.
Let be a complete non-compact Riemannian manifold. We consider operators of the form , where is the non-negative Laplacian associated with the metric , and a locally integrable function. Let be a Riemannian covering, with Laplacian and potenti…