On the lower bounds of the L²-norm of the Hermitian scalar curvature
Keller, Julien · Lejmi, Mehdi
Original · EN
On a pre-quantized symplectic manifold, we show that the symplectic Futaki invariant, which is an obstruction to the existence of constant Hermitian scalar curvature almost-Kähler metrics, is actually an asymptotic invariant. This allows us to deduce a lower bound for the L²-norm of the Hermitian scalar curvature as obtained by S. Donaldson Don in the Kähler case.
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