Nonuniqueness of solutions of the Navier-Stokes equations on negatively curved Riemannian manifolds

Leandro Lichtenfelz

In a well-known work, M. Anderson constructed a Hadamard manifold $(M^n,g)$ which carries non-zero $L^2$ harmonic $p$-forms when $p\ne n/2$, thus disproving the Dodziuk-Singer c…