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math.DG2014
A note on vanishing theorems
Nigel Hitchin
On a Riemannian manifold we define a one-parameter family of Laplacians acting on sections of any bundle associated to the principal frame bundle via a representation, and show how…
math.DG2014
Manifolds with holonomy U*(2m)
Nigel Hitchin
We consider the geometry determined by a torsion-free affine connection whose holonomy lies in the subgroup U*(2m), a real form of GL(2m,C), otherwise denoted by SL(m,H).U(1). We s…