Theorems · Definition · algebraic topology
Bundle.RiemannianBundle.g
{B : Type u_4} →
{E : B → Type u_6} →
{inst : (b : B) → TopologicalSpace (E b)} →
{inst_1 : (b : B) → AddCommGroup (E b)} →
{inst_2 : (b : B) → Module ℝ (E b)} → [self : Bundle.RiemannianBundle E] → Bundle.RiemannianMetric EThe family of inner products on the fibers
- Defined in
- Mathlib.Topology.VectorBundle.Riemannian
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 96 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Bundle.RiemannianBundle
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- TopologicalSpacestatement and proof · cited by 24,529
- Modulestatement and proof · cited by 20,661
- AddCommGroupstatement and proof · cited by 12,871
- Bundle.RiemannianBundlestatement and proof · cited by 12
- Bundle.RiemannianMetricstatement · cited by 7
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