Adelaide Research & Scholarship
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https://hdl.handle.net/2440/3565
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| Type: | Journal article |
| Title: | Zero-energy fields on real projective space |
| Author: | Bailey, Toby N. Eastwood, Michael George |
| Citation: | Geometriae Dedicata, 1997; 67(3):245-258 |
| Publisher: | Springer |
| Issue Date: | 1997 |
| ISSN: | 0046-5755 |
| Statement of Responsibility: | Toby N. Bailey and Michael G. Eastwood |
| Abstract: | A smooth 1-form on real projective space with vanishing integral along all geodesics is said to have zero energy. Such a 1-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. |
| Keywords: | Integral geometry; involutive structure; Randon transform; cohomology |
| Rights: | © 1997 Kluwer Academic Publishers |
| DOI: | 10.1023/A:1004939917121 |
| Appears in Collections: | Pure Mathematics publications |
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