General Mathematics, Vol. 5, No. 1 - 4, pp. 145-150, 1995


Ph. Delanoe -- An $L^\infty$ {\it a Priori} Estimate for the Calabi-Yau Operator on Compact almost-K\" ahler Manifolds


Abstract: In this note, we recall the definition and main properties of an almost-K\" ahler analogue of the Calabi-Yau operator, and we carry out for it an $L^\infty$ {\em a priori} estimate which extends the one obtained by Yau and Aubin on compact K\" ahler manifolds.

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