Sealey, H. C. J. Some conditions ensuring the vanishing of harmonic differential forms with applications to harmonic maps and Yang-Mills theory. (English) Zbl 0494.58002 Math. Proc. Camb. Philos. Soc. 91, 441-452 (1982). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 3 ReviewsCited in 31 Documents MSC: 58A14 Hodge theory in global analysis 58E20 Harmonic maps, etc. 53C80 Applications of global differential geometry to the sciences Keywords:conformally flat metrics on m-space and on the unit m-disc which have no square integrable harmonic 1-forms; harmonic maps from 3-dimensional hyperbolic space forms PDFBibTeX XMLCite \textit{H. C. J. Sealey}, Math. Proc. Camb. Philos. Soc. 91, 441--452 (1982; Zbl 0494.58002) Full Text: DOI References: [1] DOI: 10.1215/S0012-7094-80-04736-5 · Zbl 0513.58019 · doi:10.1215/S0012-7094-80-04736-5 [2] Kobayashi, Foundations of differential geometry I (1963) [3] DOI: 10.1016/0003-4916(79)90189-1 · Zbl 0412.35089 · doi:10.1016/0003-4916(79)90189-1 [4] Aronszajn, J. Math. Pure Appl. 36 pp 235– (1957) [5] Cheeger, J. Diff. Geom. 3 pp 119– (1969) [6] Bourguignon, Comm. Math. Phys [7] DOI: 10.1112/blms/10.1.1 · Zbl 0401.58003 · doi:10.1112/blms/10.1.1 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.