Zero-energy fields on real projective space

TN Bailey, MG Eastwood

Research output: Contribution to journalArticlepeer-review

Abstract

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
Volume67
Issue number3
Publication statusPublished - Oct 1997

Keywords

  • integral geometry
  • involutive structure
  • Radon transform
  • cohomology

Fingerprint

Dive into the research topics of 'Zero-energy fields on real projective space'. Together they form a unique fingerprint.

Cite this