OAI/Geometry/PrescribedRicci/PrescribedRicci.lean

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13 declarations, 0 contain sorry, 0 declared as axioms

Anticanonical sections and semipositive prescribed Ricci curvature.

  1. def OAI.Anticanonical.ComplexAtlas.anticanonicalSections line 18
  2. abbrev OAI.Anticanonical.ComplexAtlas.H0Anticanonical line 52
  3. theorem OAI.Anticanonical.ComplexAtlas.section_eq_zero_iff line 63
  4. theorem OAI.Anticanonical.ComplexAtlas.section_ne_zero_iff line 79
  5. theorem OAI.Anticanonical.ComplexAtlas.section_ne_zero_iff_on_source line 86
  6. def OAI.Anticanonical.ComplexAtlas.unitSectionOfTrivialTransitions line 99
  7. theorem OAI.Anticanonical.ComplexAtlas.unitSectionOfTrivialTransitions_ne_zero line 114
  8. def OAI.Anticanonical.ComplexAtlas.degreeZeroSection line 128
  9. theorem OAI.Anticanonical.ComplexAtlas.jacobian_dim_zero line 132
  10. def OAI.Anticanonical.ComplexAtlas.dimensionZeroSection line 138
  11. theorem OAI.Anticanonical.ComplexAtlas.dimensionZeroSection_ne_zero line 141
  12. theorem OAI.Anticanonical.headline_dimensionZero line 151
  13. theorem OAI.Anticanonical.SourceSmooth.prescribedRicciFromSemipositive line 162