The BMS conjecture

Abstract

I explain an open conjecture by Braverman/Milatovic/Shubin (BMS) on the positivity of square integrable solutions f of (-+1)f≥ 0 on a geodescially complete Riemannian manifold, and its connection to essential self-adjointness problems of covariant Schr\"odinger operators. The latter conjecture has remained open for more than 14 years now.

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