Volume Forms

  • Serge Lang
Part of the Graduate Texts in Mathematics book series (GTM, volume 191)


For the first time we meet a strictly finite dimensional phenomenon: If X is of finite dimension n, then the n-forms A n (X) play a distinguished role whose extension to the infinite dimensional case is not evident. So this chapter is devoted to these forms of maximal degree. In the next chapter, we shall study how to integrate them, so the present chapter also provides a transition from the differential theory to the integration theory.


Vector Field Riemannian Manifold Covariant Derivative Volume Form Orthonormal Frame 
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Copyright information

© Springer Science+Business Media New York 1999

Authors and Affiliations

  • Serge Lang
    • 1
  1. 1.Department of MathematicsYale UniversityNew HavenUSA

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