Zero-energy fields on real projective space

Please use this identifier to cite or link to this item: https://hdl.handle.net/2440/3565

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DC Field	Value	Language
dc.contributor.author	Bailey, Toby N.	en
dc.contributor.author	Eastwood, Michael George	en
dc.date.issued	1997	en
dc.identifier.citation	Geometriae Dedicata, 1997; 67(3):245-258	en
dc.identifier.issn	0046-5755	en
dc.identifier.uri	http://hdl.handle.net/2440/3565	-
dc.description.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.	en
dc.description.statementofresponsibility	Toby N. Bailey and Michael G. Eastwood	en
dc.language.iso	en	en
dc.publisher	Springer	en
dc.rights	© 1997 Kluwer Academic Publishers	en
dc.subject	Integral geometry; involutive structure; Randon transform; cohomology	en
dc.title	Zero-energy fields on real projective space	en
dc.type	Journal article	en
dc.identifier.doi	10.1023/A:1004939917121	en
Appears in Collections:	Pure Mathematics publications

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