OAI/Geometry/EinsteinFour/MetricDistance.lean

GitHub source file

6 declarations, 0 contain sorry, 0 declared as axioms

The actual tangent norm and path distance of a smooth metric. These basic definitions are independent of the classification and scaling steps.

  1. def OAI.PositiveEinsteinFour.Geometry.metricTangentNorm line 19
  2. def OAI.PositiveEinsteinFour.Geometry.metricTangentENorm line 23
  3. theorem OAI.PositiveEinsteinFour.Geometry.metricTangentNorm_eq_sqrt line 27
  4. theorem OAI.PositiveEinsteinFour.Geometry.metricTangentENorm_eq_ofReal line 32
  5. def OAI.PositiveEinsteinFour.Geometry.metricEDistance line 38
  6. theorem OAI.PositiveEinsteinFour.Geometry.metricEDistance_eq_iInf line 42