On the coefficients of TYZ expansion of locally Hermitian symmetric spaces

被引：8

作者：

Loi, Andrea ^{[1
]}

Zedda, Michela ^{[2
]}

机构：

[1] Univ Cagliari, Dipartimento Matemat & Informat, I-09124 Cagliari, Italy

[2] Univ Turin, Dipartimento Matemat G Peano, Turin, Italy

来源：

MANUSCRIPTA MATHEMATICA | 2015年 / 148卷 / 3-4期

关键词：

CONSTANT SCALAR CURVATURE; FLAT KAHLER-METRICS; ASYMPTOTIC-EXPANSION; REGULAR QUANTIZATIONS; PROJECTIVE EMBEDDINGS; MANIFOLDS; KERNELS;

D O I：

10.1007/s00229-015-0746-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we address the problem of studying those Kahler manifolds whose first two coefficients of the associated TYZ expansion vanish and we prove that for a locally Hermitian symmetric space this happens only in the flat case. We also prove that there exist nonflat locally Hermitian symmetric spaces where all the odd coefficients vanish.

引用

页码：303 / 315

页数：13

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