
In several papers in the physics literature techniques are developed to overcome the fact that orientable manifolds do not necessarily admit a Spin\(^ c\) structure. We point out that in the cases of primary interest in physics, orientable manifolds always admit Spin\(^ c\) structures, so that it is not really necessary to consider these more sophisticated techniques.
orientable manifolds, \(Spin^ c\) structures, General geometric structures on manifolds (almost complex, almost product structures, etc.), Applications of global differential geometry to the sciences
orientable manifolds, \(Spin^ c\) structures, General geometric structures on manifolds (almost complex, almost product structures, etc.), Applications of global differential geometry to the sciences
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