Differential Forms on Riemannian Manifolds
For a fuller development of the calculus of differential forms, we now proceed to Riemannian manifolds. Here we will encounter the star operator, the Laplace-de Rham operator, the Hodge decomposition, and Poincaré duality. We begin by considering the somewhat more general semi-Riemannian manifolds.
KeywordsRiemannian Manifold Lorentz Manifold Harmonic Form Star Operator Mapping Degree
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