WebOn a polarized manifold (X, L), the Bergman iteration φ (m) k is defined as a sequence of Bergman metrics on L with two integer parameters k, m. We study the relation between the Kähler-Ricci flow φ t at any time t ≥ 0 and the limiting behavior of metrics φ (m) k when m = m(k) and the ratio m/k approaches to t as k → ∞. Mainly, three settings are investigated: … WebThen it’s natural to ask whether geodesics in H can be approximated by Bergman ... in the C0 topology. While Song-Zelditch proved the C2 convergence for the torus-invariant …
On the Rate of Convergence of the Bergman–Vekua Method for …
Web21 de jun. de 2011 · It is well known in Kähler geometry that the infinite-dimensional symmetric space of smooth Kähler metrics in a fixed Kähler class on a polarized Kähler manifold is well approximated by finite-dimensional submanifolds of Bergman metrics of height k.Then it is natural to ask whether geodesics in can be approximated by Bergman … WebShengxuan Zhou's 6 research works with 4 citations and 55 reads, including: A Regularity Theory for Static Schrödinger Equations on \(\boldsymbol{\mathbb{R}^d}\) in Spectral … imag prefix meaning
On the convergence rate of Bergman metrics - ResearchGate
Web26 de dez. de 2024 · Download Citation On the Convergence Rate of Bergman Metrics We study the convergence rate of Bergman metrics on the class of polarized pointed … WebCanonical coordinates and Bergman metrics 593 Here f(q) is a function that only depends on q. Now, we recall the construction by Kontsevich. Given a Kahler mani- fold (M,a;), where CJ is real analytic.Denote by M the same manifold M endowed with the complex structure conjugate to the original one. WebTakahashi, R. Osaka J. Math. 55 (2024), 713–729 BERGMAN ITERATION AND C∞-CONVERGENCE TOWARDS KAHLER-RICCI FLOW¨ Ryosuke TAKAHASHI (Received December 20, 2016, revised May 10, i m a greedy man part 1