Differential Forms on Riemannian Manifolds

  • Klaus Jänich
Part of the Undergraduate Texts in Mathematics book series (UTM)


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.


Riemannian Manifold Lorentz Manifold Harmonic Form Star Operator Mapping Degree 
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Copyright information

© Springer Science+Business Media New York 2001

Authors and Affiliations

  • Klaus Jänich
    • 1
  1. 1.NWF-I MathematikUniversität RegensburgRegensburgGermany

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