The first eigenvalue of the Dirac operator in a conformal class. (English) Zbl 1121.53033
In this overview paper the authors present their own results concerning the first positive eigenvalue of the Dirac operator in a unit volume conformal class. In particular, the question whether the infimum is attained is discussed. The corresponding variational problem is explained and the relation to the spinorial mass endomorphism is also discussed. An application to surfaces of constant mean curvature is given. Certain open problems and work in progress are presented.
Reviewer: Adrian Sandovici (Piatra Neamt)
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