Zero-energy fields on real projective space

TN Bailey, MG Eastwood

Research output: Contribution to journalArticlepeer-review


A smooth l-form on real projective space with vanishing integral along all geodesics is said to have zero energy. Such a I-form is necessarily the exterior derivative of a smooth function. We formulate a general version of this theorem for tensor fields on real projective space and prove it using methods of complex analysis. A key ingredient is the cohomology of involutive structures.

Original languageEnglish
Pages (from-to)245-258
Number of pages14
JournalGeometriae Dedicata
Issue number3
Publication statusPublished - Oct 1997


  • integral geometry
  • involutive structure
  • Radon transform
  • cohomology


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