Vanishing theorem for irreducible symmetric spaces of noncompact type |
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| Authors: | Xu Sheng Liu |
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| Affiliation: | 1. School of Mathematical Sciences, Fudan University, Shanghai, 200433, P. R. China
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| Abstract: | We prove the following vanishing theorem. Let M be an irreducible symmetric space of noncompact type whose dimension exceeds 2 and M ≠ SO 0(2, 2)/SO(2) × SO(2). Let π: E → M be any vector bundle. Then any E-valued L 2 harmonic 1-form over M vanishes. In particular we get the vanishing theorem for harmonic maps from irreducible symmetric spaces of noncompact type. |
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| Keywords: | vanishing theorem symmetric space harmonic form |
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