Abstract
We need some preparations from linear algebra. Let V be a real vector space with a scalar product <·, ·>, and let Λ p V be the p-fold exterior product of V. We then obtain a scalar product on Λ p V by
and bilinear extension to Λ P(V). If e 1, ..., e d is an orthonormal basis of V,
constitute an orthonormal basis of Λ p V.
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© 2002 Springer-Verlag Berlin Heidelberg
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Jost, J. (2002). De Rham Cohomology and Harmonic Differential Forms. In: Riemannian Geometry and Geometric Analysis. Universitext. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-04672-2_2
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DOI: https://doi.org/10.1007/978-3-662-04672-2_2
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-42627-1
Online ISBN: 978-3-662-04672-2
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