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This article is cited in 22 scientific papers (total in 22 papers)
The level set of a smooth mapping in a neighborhood of a singular point, and zeros of a quadratic mapping
E. R. Avakov, A. A. Agrachev, A. V. Arutyunov
Abstract:
The level set $M$ of a smooth mapping $F$ in a neighborhood of an anormal point is investigated. Concepts of 2-regularity are introduced for it. It is proved that if the mapping is 2-regular at the point under consideration, then in a neighborhood of it the set $M$ is locally diffeomorphic to the set of zeros of the second differential of $F$.
Received: 01.08.1990
Citation:
E. R. Avakov, A. A. Agrachev, A. V. Arutyunov, “The level set of a smooth mapping in a neighborhood of a singular point, and zeros of a quadratic mapping”, Mat. Sb., 182:8 (1991), 1091–1104; Math. USSR-Sb., 73:2 (1992), 455–466
Linking options:
https://www.mathnet.ru/eng/sm1342https://doi.org/10.1070/SM1992v073n02ABEH002555 https://www.mathnet.ru/eng/sm/v182/i8/p1091
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Abstract page: | 748 | Russian version PDF: | 167 | English version PDF: | 16 | References: | 42 | First page: | 3 |
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