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Evolution of the Topological Linear Defects |
DUAN Yi-shi1;JIANG Ying1;YANG Guo-hong2 |
1Institute of Theoretical Physics, Lanzhou University, Lanzhou 730000
2Department of Physics, Fudan University, Shanghai 200433
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Cite this article: |
DUAN Yi-shi, JIANG Ying, YANG Guo-hong 1999 Chin. Phys. Lett. 16 157-159 |
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Abstract In the light of ø-mapping method and topological current theory, the topological structure and the topological quantization of topological linear defects are obtained under the condition that Jacobian J (ø / v ) ≠ 0. When J ( ø / v ) = 0, it is shown that there exists the crucial case of branch process. Based on the implicit function theorem and the Taylor expansion, the generation, annihilation and bifurcation of the linear defects are detailed in the neighborhoods of the limit points and bifurcation points of ø-mapping, respectively.
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Keywords:
02.40.-k
04.20.-q
11.25.-w
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Published: 01 March 1999
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PACS: |
02.40.-k
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(Geometry, differential geometry, and topology)
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04.20.-q
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(Classical general relativity)
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11.25.-w
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(Strings and branes)
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