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| Inequalities of Eigenvalues for the Dirac Operator on Compact Complex Spin Submanifolds in Complex Projective Spaces |
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Citation： |
Daguang CHEN,Hejun SUN.Inequalities of Eigenvalues for the Dirac Operator on Compact Complex Spin Submanifolds in Complex Projective Spaces[J].Chinese Annals of Mathematics B,2008,29(2):165~178 |
| Page view： 1156
Net amount： 785 |
Authors： |
Daguang CHEN; Hejun SUN |
Foundation： |
Science Research Development Fund of Nanjing University of Science and Technology (No. AB96228). |
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| Abstract： |
For a compact complex spin manifold M with a holomorphic isometric embedding into the complex projective space, the authors obtain the extrinsic estimates from above and below for eigenvalues of the Dirac operator, which depend on the data of an
isometric embedding of M. Further, from the inequalities of eigenvalues, the gaps of the eigenvalues and the ratio of the eigenvalues are obtained. |
Keywords： |
Eigenvalue, Dirac operator, Yang-type inequality, Test spinor |
Classification： |
35P15, 53C27 |
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