Spinc Dirac算子的特征值

数学季刊 ›› 2004, Vol. 19 ›› Issue (2): 120-125.

Spin^cDirac算子的特征值

College of Mathematics and Information Science, Henan University, Kaifeng 475001, China; Zhengzhou Teacher's College, Zhengzhou 450044, China; Department of Mathematics, Lanzhou University, Lanzhou 730000, China; Institute of Mathematics, Henan University, Kaifeng 475001, China

收稿日期:2004-02-20 出版日期:2004-06-30 发布日期:2024-03-15
作者简介:FENG Xiu-fang(1965-),female,native of Changge,Henan,a lecturer of Henan University, M.S.D.,engages in partial differential equation;LAN She-yun(1956-),female,native of Zhengzhou,Henan,an advanced lecturer of Zhengzhou Teacher's College,engages in partial differential equation;DING Lu(1980-), female,native of Luohe,graduate student,engages in mathematics physics;ZHENG Zhu-jun(1966-),male, native of Changge,Henan,a professor of Henan University,Ph.D.,engages in partial differential equation, mathenatics physics.
基金资助:
Supported in part by Mathematics Tianyuan Fund(10226002)；

Eigenvalues of Spin^c Dirac Operator

College of Mathematics and Information Science, Henan University, Kaifeng 475001, China; Zhengzhou Teacher's College, Zhengzhou 450044, China; Department of Mathematics, Lanzhou University, Lanzhou 730000, China; Institute of Mathematics, Henan University, Kaifeng 475001, China

Received:2004-02-20 Online:2004-06-30 Published:2024-03-15
About author:FENG Xiu-fang(1965-),female,native of Changge,Henan,a lecturer of Henan University, M.S.D.,engages in partial differential equation;LAN She-yun(1956-),female,native of Zhengzhou,Henan,an advanced lecturer of Zhengzhou Teacher's College,engages in partial differential equation;DING Lu(1980-), female,native of Luohe,graduate student,engages in mathematics physics;ZHENG Zhu-jun(1966-),male, native of Changge,Henan,a professor of Henan University,Ph.D.,engages in partial differential equation, mathenatics physics.
Supported by:
Supported in part by Mathematics Tianyuan Fund(10226002)；

摘要/Abstract

摘要： In this paper we research the lower bound of the eigenvalue of Spinc Dirac operator on the Spinc manifold. By the Weisenbock formula, we get an estimate of it, then following the idea of Th Friedrich [2] and X Zhang [6]. We get a finer estimate of it. As an application, we give a condition when the Seiberg-Witten equation only has 0 solution.

关键词: eigenvalue;Spin^c Dirac , operator;Seiberg-Witten , equation

Abstract: In this paper we research the lower bound of the eigenvalue of Spinc Dirac operator on the Spinc manifold. By the Weisenbock formula, we get an estimate of it, then following the idea of Th Friedrich [2] and X Zhang [6]. We get a finer estimate of it. As an application, we give a condition when the Seiberg-Witten equation only has 0 solution.

Key words: eigenvalue;Spin^c Dirac , operator;Seiberg-Witten , equation

中图分类号:

O177

冯秀芳, 兰社云, 丁璐, 郑驻军. Spin^cDirac算子的特征值[J]. 数学季刊, 2004, 19(2): 120-125.

FENG Xiu-fang, LAN She-yun, DING Lu, ZHENG Zhu-jun. Eigenvalues of Spin^c Dirac Operator[J]. Chinese Quarterly Journal of Mathematics, 2004, 19(2): 120-125.

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