Abstract
We compute the Hessian of quantized Ding functionals and give an elementary proof for the convexity of quantized Ding functionals along Bergman geodesics from the view point of projective geometry. We study also the asymptotic behavior of the Hessian using the Berezin-Toeplitz quantization.
Citation
Ryosuke Takahashi. "The Hessian of quantized Ding functionals and its asymptotic behavior." Kodai Math. J. 41 (2) 301 - 314, June 2018. https://doi.org/10.2996/kmj/1530496843