Treatise of Physics

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proposition 13.96 The cross product is an axial vector

open in the book · parts/02-mathematical-methods/11-manifolds-tensors-curvature.tex:4688 · p. 510

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proposition 13.96: The cross product is an axial vector13.96definition 13.5: Tensor under orthogonal transformations13.5equation 13.13: eq:mfd-condorto13.13proposition 13.6: Levi-Civita identities in three dimensions13.6proof : ch:11-manifolds-tensors-curvature@proof-19proofdefinition 13.4: Orthogonal coordinate transformation13.4definition 19.42: Inertia tensor19.42definition 29.13: Inertia tensor, continuum form29.13lemma 30.26: Isotropic Cartesian tensors of rank four30.26notation 30.1: Strain and displacement share a letter30.1proposition 30.7: Strain is a Cartesian tensor of rank two30.7proposition 19.43: The moment of inertia is a quadratic form in the axis19.43remark 13.7: What the classification is used for13.7theorem 30.18: Cauchy: the stress tensor exists30.18equation 5.19: eq:lin-leibniz-det5.19proposition 13.95: The elementary cross-product identities13.95proof : ch:11-manifolds-tensors-curvature@proof-1proof

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depends_on → Levi-Civita identities in three dimensions declared parts/02-mathematical-methods/11-manifolds-tensors-curvature.tex:4700
proves ← ch:11-manifolds-tensors-curvature@proof-19 declared parts/02-mathematical-methods/11-manifolds-tensors-curvature.tex:4704