An upper bound for a Hilbert polynomial on quaternionic Kahler manifolds

2002/08/09 by Uwe Semmelmann, Semmelmann, Uwe, Gregor Weingart +1
Mathematics · #53C25 #58J50 #Differential Geometry (math.DG) #FOS: Mathematics #math.DG #msc:53C25 #msc:58J50

paper · pdf · doi:10.48550/arxiv.math/0208079

21 pages

arxiv created 2002/08/09 · arxiv updated 2009/11/30

Abstract

In this article we prove an upper bound for a Hilbert polynomial on quaternionic Kaehler manifolds of positive scalar curvature. As corollaries we obtain bounds on the quaternionic volume and the degree of the associated twistor space. Moreover the article contains some details on differential equations of finite type. Part of it is used in the proof of the main theorem.

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