BELTRAMI ALGEBRA AND SYMMETRY OF THE BELTRAMI EQUATION ON RIEMANN SURFACES

被引：9
作者：
GUO, HY
SHEN, JM
WANG, SK
XU, KW
机构：
[1] ACAD SINICA,INST THEORET PHYS,BEIJING 100080,PEOPLES R CHINA
[2] ACAD SINICA,INST APPL MATH,BEIJING 100080,PEOPLES R CHINA
[3] ZHEJIANG UNIV,DEPT PHYS,HANGZHOU,PEOPLES R CHINA
来源：
JOURNAL OF MATHEMATICAL PHYSICS | 1990年 / 31卷 / 11期
关键词：
D O I：
10.1063/1.528999
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
It is shown that the Beltrami equation has an infinite-dimensional symmetry, namely the Beltrami algebra, on its solution spaces. The Beltrami algebra with central extension and its supersymmetric version are explicitly found. © 1990 American Institute of Physics.
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收藏
页码：2543 / 2547
页数：5
相关论文
共 15 条
  • [1] ALAVAREZGAUME L, CERN TH488387 PREPR
  • [2] SUPER RIEMANN SURFACES - UNIFORMIZATION AND TEICHMULLER THEORY
    CRANE, L
    RABIN, JM
    [J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1988, 113 (04) : 601 - 623
  • [3] CONFORMAL AND CURRENT-ALGEBRAS ON A GENERAL RIEMANN SURFACE
    EGUCHI, T
    OOGURI, H
    [J]. NUCLEAR PHYSICS B, 1987, 282 (02) : 308 - 328
  • [4] FRIEDAN D, 1986, NUCL PHYS B, V271, P83
  • [5] FRIEDAN D, 1986, P SANTA BARBARA WORK
  • [6] BELTRAMI ALGEBRA AND ITS OPERATOR-FORMALISM
    GUO, HY
    SHEN, JM
    WANG, SK
    XU, KW
    [J]. COMMUNICATIONS IN THEORETICAL PHYSICS, 1990, 14 (01) : 123 - 128
  • [7] GUO HY, 1989, CHINESE PHYS LETT, V6, P53, DOI 10.1088/0256-307X/6/2/002
  • [8] BELTRAMI GAUGE-SYMMETRY AND 2D INDUCED GRAVITY
    GUO, HY
    WANG, SK
    WANG, ZH
    WU, K
    [J]. COMMUNICATIONS IN THEORETICAL PHYSICS, 1990, 14 (01) : 99 - 106
  • [9] FRACTAL STRUCTURE OF 2D - QUANTUM-GRAVITY
    KNIZHNIK, VG
    POLYAKOV, AM
    ZAMOLODCHIKOV, AB
    [J]. MODERN PHYSICS LETTERS A, 1988, 3 (08) : 819 - 826
  • [10] Krichever I., 1987, FUNKTSIONAL ANAL PRI, V21, P47, DOI DOI 10.1007/BF01077803
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