WebOne advantage of the expansion in the C ∞ topology is that it easily implies the convergence of the Bergman metrics ω p to ω with speed rate p − 2, see [13, (5.1.23)]. This convergence speed is optimal and is attained only …

Canonical coordinates and Bergmann metrics

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 … Webbe the Bergman iteration ( 1.2) and φt the Kahler-Ricci flow ( 1.1) starting at the same initial weight φ 0. Then, in each of three settings (S 0), (S±), in the double scaling limit … tarjama google

Equivalent metrics $\\iff$ same convergent sequences

WebThe space of positively curved hermitian metrics on a positive holomorphic line bundle over a compact complex manifold is an infinite-dimensional symmetric space. It is shown by … WebOptimal convergence speed of Bergman metrics 1095 the Szeg˝o kernels first, and construct the operator Db from the Szeg˝o ker-nels. For these spaces the Bergman forms converge to the symplectic form with speed rate p−1, too. The main result of this paper is as follows. Theorem 0.1. Let (X,ω) be a compact symplectic manifold and (L,hL) 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. tarjama google apk