A Hodge metric is a Kähler metric whose Kähler form represents an integral cohomology class in real de Rham cohomology. Equivalently, its periods over integral two-cycles are integers. Some conventions require the class of to be integral instead; this changes the normalization but not existence.

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  1. Kähler metric
  2. Kähler manifold
  3. Complex manifold
  4. Integrable almost complex structure
  5. Almost complex manifold
  6. Complex structure
  7. Complex geometry
  8. Geometry and topology
  9. Area of mathematics
  10. Mathematics
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