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Spin (7)-Manifolds with Parallel Torsion Form

✍ Scribed by Christof Puhle

Publisher
Springer
Year
2009
Tongue
English
Weight
266 KB
Volume
291
Category
Article
ISSN
0010-3616

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An estimate for the first eigenvalue of the Dirac operator on compact Riemannian spin manifold of positive scalar curvature admitting a parallel one-form is found. The possible universal covering spaces of the manifolds on which the smallest possible eigenvalue is attained are also listed. Moreover,