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2 results for “TYCZ-expansion”

On the third coefficient in the TYCZ-expansion of the epsilon function of Kaehler-Einstein manifoldsmath.DG

Paper calculates third coefficient in Kaehler-Einstein metric expansion.

problem Understanding Kaehler-Einstein metrics and their epsilon functions.

method Computes the third coefficient in the TYCZ-expansion of the epsilon function.

result Discovers the vanishing of the third coefficient's significance.

Kaehler-Einstein metrics epsilon function TYCZ-expansion third coefficient

2024-09-17abs ↗pdf ↗

Finite TYCZ expansions and cscK metricsmath.DG

Let $(M, g)$ be a Kaehler manifold whose associated Kaehler form $ω$ is integral and let $(L, h)\rightarrow (M, ω)$ be a quantization hermitian line bundle. In this paper we study those Kaehler manifolds $(M, g)$ admitting a finite TYCZ expansion. We show that if the TYCZ expansion is finite then $T_{mg}$ is indeed a p…

2019-03-18abs ↗pdf ↗