1 Table of Contents: “...Introduction -- The Donaldson-Futaki invariant -- Canonical Kähler metrics -- Norms for test...”

2 Table of Contents: “... -- IV Geodesics in the Space of Kähler Metrics -- 6. The Riemannian Space of Kähler Metrics -- 7. MA...”

3 Table of Contents: “... -- Complex and holomorphic vector bundles -- Hermitian bundles -- Hermitian and Kähler metrics...”

4 Table of Contents: “...1 Introduction to Kähler manifolds -- 1.1 Kähler metrics -- 1.2 Curvature of Kähler metrics -- 2...”

5 Table of Contents: “...Preliminaries -- Kähler-Einstein metrics and extremal Kähler metrics -- The character f and its...”

6 Table of Contents: “... The Yamabe Problem -- 6 Prescribed Scalar Curvature -- 7 Einstein—Kähler Metrics -- 8 Monge—Ampère Equations...”

7 Table of Contents: “..., On semiclassical Ohsawa-Takegoshi extension theorem -- Y. Hashimoto, Balanced metrics for extremal Kahler metrics...”

8 Table of Contents: “... E. Legendre, A note on extremal toric almost Kähler metrics -- 5 Y. Odaka, Tropical geometric...”

9 Table of Contents: “...): The Existence Problem of Extremal Kähler Metrics on Polarized Algebraic Manifolds -- 5.2Katsuhiro Yamanoi (Tokyo...”

10 Table of Contents: “... Surfaces -- Extremal Kähler Metrics -- On the Characteristic Numbers of Complete Manifolds of Bounded...”

11 Table of Contents: “...L2harmonic forms on complete Riemannian manifolds -- Ricci-flat Kähler metrics on affine algebraic...”

12 Table of Contents: “... of Critical Sets -- The FoxLi operator as a Test and a Spur for WienerHopf Theory -- Kahler Metrics with Cone...”

13 Table of Contents: “... Instantons -- How Many Kahler Metrics Has a K3 Surface? -- On the Problem of Irreducibility of the Algebraic...”

14 Table of Contents: “... Kähler Metrics -- Local moduli of scalar-flat Kähler ale surfaces -- Singular Ricci flows II...”

15 Table of Contents: “.... Dolbeault Theory -- 3. Kähler Metrics -- 4. The Inner Product -- 5. Hodge Decomposition -- 6. Hodge...”

16 Table of Contents: “... systems over Zd -- A Kähler metric on a based loop group and a covariant differentiation -- Burgers system...”

17 Table of Contents: “... system of equations related to Ricci-flat Kähler metrics -- S. Michalik and M. Suwinska, Huperasymptotic...”

18 Table of Contents: “.... Kähler Manifolds -- §2. Calabi’s Conjecture -- §3. Einstein-Kähler Metrics -- §4. Complex Monge-Ampere...”

19 “... surfaces, extremal Kähler metrics, the Yamabe functional, Hamiltonian variational problems and topics...”

20 “... maximal surface equation in affine geometry and the problem of finding Kahler metrics of constant scalar...”