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math.DG2025
Conformal Fractional Dirac Operator and Spinorial Q-curvature
Ali Maalaoui
In this paper we introduce the conformal fractional Dirac operator and its associated fractional spinorial Yamabe problem. We also present a Caffarelli-Silvestre type extension for…
math.DG2025
Conformally Invariant Dirac Equation with Non-Local Nonlinearity
Ali Maalaoui, Vittorio Martino, Lamine Mbarki
We study a conformally invariant equation involving the Dirac operator and a non-linearity of convolution type. This non-linearity is inspired from the conformal Einstein-Dirac pro…