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In this chapter we move onto somewhat different topics and discuss orientations of vector bundles and manifolds with boundaries. These are preliminary topics we need to cover before we can state and prove Stokes’ Theorem, which is about integrating differential forms on oriented manifolds with boundary.

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Orientations and Manifolds with Boundary

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  • 发表日期：

    2026年

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  • Will J. Merry

摘要

In this chapter we move onto somewhat different topics and discuss orientations of vector bundles and manifolds with boundaries. These are preliminary topics we need to cover before we can state and prove Stokes’ Theorem, which is about integrating differential forms on oriented manifolds with boundary.