CLIFFORD $L^2$-COHOMOLOGY ON THE COMPLETE $K\"{A}$HLER MANIFOLDS

  • Pak, Jin-Suk ;
  • Jung, Seoung-Dal
  • Published : 1997.02.01

Abstract

In the study of a manifold M, the exterior algebra $\Lambda^* M$ plays an important role. In fact, the de Rham cohomology theory gives many informations of a manifold. Another important object in the study of a manifold is its Clifford algebra (Cl(M), generated by the tangent space.

Keywords

Hilbert complex;Cliffore algebra;Ciffore $L^2$-cohomology group;$L^2$-harmonic space;Dirac operator;Spinor bundle

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