Entropies and CMC hypersurfaces
Marc Soret Université François Rabelais
Let be a complete, noncompact constant mean curvature hypersurface of finite index in . We show that if either has zero volume entropy, or zero total curvature entropy and , or has bounded curvature and is properly embedded, then is minimal. We obtain similar results in more general ambient manifolds. Moreover the article contains some results of independent interest, about the volume entropy and the bottom of the essential spectrum.