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Connections with prescribed first Pontrjagin form

Authors:	Mahuya Datta

Affiliation:	Department of Pure Mathematics, University of Calcutta, 35 P. Barua Sarani, Calcutta 700019, India

Abstract:	Let be a principal bundle over a $C^\infty$ manifold of dimension . If $n\geq 5m+4+4\binom{m+1}{4}$ , then we prove that every differential 4-form representing the first Pontrjagin class of is the Pontrjagin form of some connection on .

Keywords:	Principal bundle connections first Pontrjagin form

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