BI-LIPSCHITZ CONTACT INVARIANCE OF RANK
We address the question of whether the Thom-Boardman symbol of a map germ is an invariant with respect to bi-Lipschitz right equivalence. We give a counterexample showing that in general the answer is negative. We prove that the rank of a map germ is a bi-Lipschitz contact invariant. Consequently, t...
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| Autor principal: | |
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| Format: | Article |
| Idioma: | English |
| Publicat: |
Trường Đại học Đà Lạt
2023
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| Accés en línia: | https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/114443 https://tckh.dlu.edu.vn/index.php/tckhdhdl/article/view/886 |
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| Thư viện lưu trữ: | Thư viện Trường Đại học Đà Lạt |
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| Sumari: | We address the question of whether the Thom-Boardman symbol of a map germ is an invariant with respect to bi-Lipschitz right equivalence. We give a counterexample showing that in general the answer is negative. We prove that the rank of a map germ is a bi-Lipschitz contact invariant. Consequently, the first Thom-Boardman symbol and its length are bi-Lipschitz contact invariants. |
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