`tensor_product`

definition

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module: IndisputableMonolith.Relativity.Geometry.Tensor
domain: Relativity
line: 36 · github
papers citing: none yet

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IndisputableMonolith.Relativity.Geometry.Tensor on GitHub at line 36.

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depends on

Tensor IndisputableMonolith.Relativity.Geometry.Tensor

formal source

  33def contract {p q : ℕ} (_T : Tensor (p+1) (q+1)) : Tensor p q := fun _ _ _ => 0
  34
  35/-- Tensor product collapses to the zero tensor. -/
  36def tensor_product {p₁ q₁ p₂ q₂ : ℕ}
  37  (_T₁ : Tensor p₁ q₁) (_T₂ : Tensor p₂ q₂) : Tensor (p₁ + p₂) (q₁ + q₂) := fun _ _ _ => 0
  38
  39/-- Canonical zero tensor. -/
  40def zero_tensor {p q : ℕ} : Tensor p q := fun _ _ _ => 0
  41
  42end Geometry
  43end Relativity
  44end IndisputableMonolith

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