Local Behavior of Certain n-Dimensional Diffeomorphisms

2023 · doi:10.21203/rs.3.rs-3315181/v1
preprint OA: closed
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Abstract

The main purpouse of this paper is to prove that a \(C^1\)-diffeomorphism of the form \(\varphi(x) = x + (x_n\varphi_1(x), \ldots, x_n\varphi_{n-1}(x), x_n^2\varphi_n(x))\) is locally topologically equivalent to its linear part under a generic condition. MSC Classification: 37C15 , 37C05 , 58K40

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last seen: 2026-05-19T01:45:01.086888+00:00