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Strichartz estimates for the Schr\"odinger equation on compact manifolds with nonpositive sectional curvature

Strichartz estimates for the Schr\"odinger equation on compact manifolds with nonpositive sectional curvature

We obtain improved Strichartz estimates for solutions of the Schr\"odinger equation on compact manifolds with nonpositive sectional curvatures which are related to the classical universal results of Burq, G\'erard and Tzvetkov [11]. More explicitly, we are able refine the arguments in the recent work of Blair and the authors [3] …