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Existence of approximate Hermitian-Einstein structures on semi-stable bundles
Existence of approximate Hermitian-Einstein semi-stable bundles
2010/12/31
The purpose of this paper is to investigate canonical metrics on a semi-stable vector bundle E over a compact K¨ahler manifold X. It is shown that, if E is semistable,then Donaldson’s functional is bo...
Quaternionic Kaehler and Spin(7) metrics arising from quaternionic contact Einstein structures
quaternionic contact structures Einstein structures qc conformal flatness
2010/9/15
We construct left invariant quaternionic contact (qc) structures on Lie groups with zero and
non-zero torsion and with non-vanishing quaternionic contact conformal curvature tensor, thus showing the ...