A Spinorial Approach to Riemannian and Conformal Geometry

@inproceedings{guignon2016ASA,
  title={A Spinorial Approach to Riemannian and Conformal Geometry},
  author={Oussama Hijazi Jean - Pierre Bour - guignon and Jean - Louis Milhorat},
  year={2016}
}
  • Oussama Hijazi Jean - Pierre Bour - guignon, Jean - Louis Milhorat
  • Published 2016
was formulated by P.A.M. Dirac in 1928. It is one of the most fundamental equations of quantum mechanics, to be explicit in this equation ∂μ = ∂ ∂xμ , ψ(x) = ψ(x0, . . . , x3) ∈ C4, x ∈ R1,3, is a complex four-vector valued function on R1,3[x0, x1, x2, x3], called a spinor field, and γμ are 4 × 4 matrices, the so-called Dirac’s γ-matrices. They satisfy γμγν+γνγμ = 2ημν ,where ημν is the Minkowski tensor. The Dirac equation is invariant with respect to translations and a specific action of the… CONTINUE READING

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