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Bochner formulae for orthogonal G-structures on compact manifolds

✍ Scribed by Gil Bor; Luis Hernández Lamoneda

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
154 KB
Volume
15
Category
Article
ISSN
0926-2245

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✦ Synopsis

A general technique is introduced for deriving Bochner type formulae on a compact riemannian manifold, relating its curvature tensor with the intrinsic torsion of a compatible (orthogonal) G-structure. The technique is illustrated for the groups G = U n , SU n , G 2 and Spin 7 , with various applications of the derived formulae in these cases.

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