English

The Hessian of quantized Ding functionals and its asymptotic behavior

Differential Geometry 2019-03-14 v3

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.

Keywords

Cite

@article{arxiv.1701.06037,
  title  = {The Hessian of quantized Ding functionals and its asymptotic behavior},
  author = {Ryosuke Takahashi},
  journal= {arXiv preprint arXiv:1701.06037},
  year   = {2019}
}

Comments

13 pages, final version

R2 v1 2026-06-22T17:55:59.601Z