The Lichnerowicz formula is a result in differential geometry, specifically in the study of Riemannian manifolds. It is an important tool in the context of the study of the spectrum of the Laplace operator on Riemannian manifolds and has applications in the theory of harmonic functions, heat equations, and more. The Lichnerowicz formula gives a relationship between the Laplacian of a spinor field and the geometric properties of the manifold.
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