Appendix B. The Stokes Theorem on Complete Manifolds
Appendix B gives a detailed proof of a version (due to M.P. Gaffney, 1954) of the Stokes theorem on complete Riemannian manifolds.
Keywords: Complete Riemannian manifold; Stokes theorem; Friedrichs mollifier; Hodge operator; Hopf-Rinow theorem.
Let ( M, g) be an n-dimensional orientable complete Riemannian manifold and B9780124158269000109/si3.gif is missing the Hodge operator. For each B9780124158269000109/si4.gif is missing we set
B9780124158269000109/si5.gif is missing
(the pointwise norm of ω). Let be the space ...

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