Lichnerowicz-Weitzenbock Formula

 D^*Dpsi=del ^*del psi+1/4Rpsi,

where D is the Dirac operator D:Gamma(S^+)->Gamma(S^-), del is the covariant derivative on spinors, and R is the scalar curvature.

See also

Lichnerowicz Formula

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Donaldson, S. K. "The Seiberg-Witten Equations and 4-Manifold Topology." Bull. Amer. Math. Soc. 33, 45-70, 1996.

Referenced on Wolfram|Alpha

Lichnerowicz-Weitzenbock Formula

Cite this as:

Weisstein, Eric W. "Lichnerowicz-Weitzenbock Formula." From MathWorld--A Wolfram Web Resource.

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