Generalized imaginary Spin^c-Killing spinors force a manifold of dimension at least 3 to be locally real hyperbolic space when their Dirac current vanishes somewhere, with explicit global descriptions otherwise under completeness conditions.
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On generalized imaginary $\mathrm{Spin}^c$-Killing spinors
Generalized imaginary Spin^c-Killing spinors force a manifold of dimension at least 3 to be locally real hyperbolic space when their Dirac current vanishes somewhere, with explicit global descriptions otherwise under completeness conditions.