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This article is cited in 4 scientific papers (total in 4 papers)
Smoothing and inversion of differential operators
M. L. Gromov
Abstract:
Nash's implicit function theorem is generalized. The analytical results are applied to the problem of isometric immersion; in particular, the realizability in Euclidean space of real-analytic Riemannian manifolds is demonstrated. Moreover, theorems about the existence, approximation, extension and transversality of isometric immersion and related maps are stated; deformations and questions about unique definability are also investigated. In addition to the implicit function theorem, the theory of topological sheaves is used.
Bibliography: 20 titles.
Received: 08.04.1971
Citation:
M. L. Gromov, “Smoothing and inversion of differential operators”, Mat. Sb. (N.S.), 88(130):3(7) (1972), 382–441; Math. USSR-Sb., 17:3 (1972), 381–435
Linking options:
https://www.mathnet.ru/eng/sm3175https://doi.org/10.1070/SM1972v017n03ABEH001514 https://www.mathnet.ru/eng/sm/v130/i3/p382
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Abstract page: | 535 | Russian version PDF: | 277 | English version PDF: | 19 | References: | 60 |
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