| Eigenvalues of Spinc Dirac Operator |
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| 引用本文： | FENG Xiu-fang,LAN She-yun,DING Lu,ZHENG Zhu-jun( 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). Eigenvalues of Spinc Dirac Operator[J]. 数学季刊, 2004, 19(2): 120-125 |
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| 作者姓名： | FENG Xiu-fang LAN She-yun DING Lu ZHENG Zhu-jun( 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) |
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| 作者单位： | [1]CollegeofMathematicsandInformationScience,HenanUniversity,Kaifeng475001,China [2]ZhengzhouTeacher＇sCollege,Zhengzhou450044,China [3]DepartmentofMathematics,LanzhouUniversity,Lanzhou730000,China [4]InstituteofMathematics,HenanUniversity,Kaifeng475001,China |
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| 基金项目： | Supported in part by Mathematics Tianyuan Fund(10226002) |
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| 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.
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| 关 键 词： | 特征值函数 下限 微分几何 规范场 |
Eigenvalues of Spin^c Dirac Operator |
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| FENGXiu-fang LANShe-yun DINGLu ZHENGZhu-jun. Eigenvalues of Spin^c Dirac Operator[J]. Chinese Quarterly Journal of Mathematics, 2004, 19(2): 120-125 |
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| Authors: | FENGXiu-fang LANShe-yun DINGLu ZHENGZhu-jun |
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| Abstract: | In this paper we research the lower bound of the eigenvalue of Spin^c Diracoperator on the Spin^c manifold. By the Weisenboeck 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. |
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| Keywords: | eigenvalue Spinc Dirac operator Seiberg-Witten equation |
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