The first conformal Dirac eigenvalue on 2-dimensional tori

Several works have been devoted to the study of this conformal invariant and some variants of it [Hij86, Lott86, Bär92, Am03, Am03b, Am03a]. J. Lott [Lott86, Am03] proved that λmin(M, g, χ) = 0 if and only if kerDg 6= {0}. From [Hij86, Bär92] we deduce λmin(S ) = n2 ω 1 n n , where S is the sphere with constant sectional curvature 1 and where ωn is its… CONTINUE READING

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