QUANTIZATION OF KAHLER-MANIFOLDS .2.

被引：125

作者：

CAHEN, M ^{[1
]}

GUTT, S ^{[1
]}

RAWNSLEY, J ^{[1
]}

机构：

[1] UNIV WARWICK,INST MATH,COVENTRY CV4 7AL,W MIDLANDS,ENGLAND

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 1993年 / 337卷 / 01期

关键词：

QUANTIZATION; KAHLER MANIFOLDS;

D O I：

10.2307/2154310

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We use Berezin's dequantization procedure to define a formal *-product on a dense subalgebra of the algebra of smooth functions on a compact homogeneous Kahler manifold M. We prove that this formal *-product is convergent when M is a hermitian symmetric space.

引用

页码：73 / 98

页数：26

共 9 条

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[3] ISOMETRIC IMBEDDING OF COMPLEX MANIFOLDS
CALABI, E
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[4] COMBET E, 1982, LECTURE NOTES MATH, V937
[5] GRIFFITHS P, 1978, PRINCIPLES ALGEBRAIC
[6] Helgason S, 1962, DIFFERENTIAL GEOMETR
[7] HELGASON S, 1978, DIFFERENTIAL GEOMETR
[8] STAR-PRODUCTS ON SOME KAHLER-MANIFOLDS
MORENO, C
[J]. LETTERS IN MATHEMATICAL PHYSICS, 1986, 11 (04) : 361 - 372
[9] [No title captured]

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