科研之友
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摘要
Consider a compact Kahler manifold X with a simple normal crossing divisor D, and define Poincare type metrics on X\D as Kahler metrics on X\D with cusp singularities along D. We prove that the existence of a constant scalar curvature (respectively an extremal) Poincare type Kahler metric on X\D implies the existence of a constant scalar curvature (respectively an extremal) Kahler metric, possibly of Poincare type, on every component of D. We also show that when the divisor is smooth, the constant scalar curvature/extremal metric on X\D is asymptotically a product near the divisor.
- 出版日期2017-10
