 |
where 
is the Dirac operator 
, 
is the covariant derivative
on spinors, 
is the scalar curvature,
and 
is the self-dual part of the curvature of 
.
Lichnerowicz Formula
See also
Lichnerowicz-Weitzenbock FormulaExplore with Wolfram|Alpha
References
Donaldson, S. K. "The Seiberg-Witten Equations and 4-Manifold Topology." Bull. Amer. Math. Soc. 33, 45-70, 1996.Referenced on Wolfram|Alpha
Lichnerowicz FormulaCite this as:
Weisstein, Eric W. "Lichnerowicz Formula." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/LichnerowiczFormula.html