Tensor Calculus Examples - Search Videos

Modulus of a form on a manifold Example 1

YouTubeTensor Calculus - Robert Davie

Modulus of a form on a manifold Example 1

In this video, we work through a complete Hodge star calculation for a 2-form on a curved Riemannian manifold. Using an orthogonal coordinate system, we derive the volume form, compute the Hodge duals of the basis 2-forms, construct the dual of a general 2-form, and verify the formula ω∧∗𝜔 = 𝜔,𝜔 𝑣𝑜𝑙_𝑔. Along the way ...

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