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Quaternionic Killing Spinors

158   0   0.0 ( 0 )
 نشر من قبل Gregor Weingart
 تاريخ النشر 1997
  مجال البحث
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In a previous article we proved a lower bound for the spectrum of the Dirac operator on quaternionic Kaehler manifolds. In the present article we study the limiting case, i. e. manifolds where the lower bound is attained as an eigenvalue. We give an equivalent formulation in terms of a quaternionic Killing equation and show that the only symmetric quaternionic Kaehler manifolds with smallest possible eigenvalue are the quaternionic projective spaces.



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