OAI/Geometry/EinsteinFour/ChartMetricNondegeneracy.lean

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3 declarations, 0 contain sorry, 0 declared as axioms

The pulled-back metric is positive definite everywhere in its chart, not merely at the chart's center.

  1. theorem OAI.PositiveEinsteinFour.Geometry.chart_inverse_derivative_injective line 18
  2. theorem OAI.PositiveEinsteinFour.Geometry.metricInChart_pairing line 23
  3. theorem OAI.PositiveEinsteinFour.Geometry.metricInChart_posDef line 53