Orientations and Manifolds with Boundary

Will J. Merry
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Will J. Merry: ETH Zürich, Departement Mathematik

Chapter Chapter 24 in Lectures on Differential Geometry I, 2026, pp 239-254 from Springer

Abstract: Abstract 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.

Date: 2026
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DOI: 10.1007/978-3-032-03733-6_24

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