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References
Gromov, M. L.: Partial Differential Relations. New York-Heidelberg-Berlin: Springer Verlag 1986.
Gromov, M. L. and V. A. Rohlin: Embeddings and immersions in Riemannian geometry. Usp. Mat. Nauk25, No. 5 (1970), 3–62 (in Russian). English translation: Russ. Math. Survey25, No. 5 (1970), 1–57.
Hamilton, R. S.: The inverse function theorem of Nash and Moser. Bull. Amer. Math. Soc.7 (1982), 65–222.
Hörmander, L.: The boundary problems of physical geodesy. Arch. Rat. Mech. Anal.62 (1976), 1–52.
Jacobowitz, H.: Implicit function theorems and isometric embeddings. Ann. of Math.95 (1972), 191–225.
Lichnerowicz, A.: Champs spinoriels et propagateurs en relativité générale. Bull. Soc. Math. France92 (1964), 11–108.
Moser, J.: A rapidly convergent iteration method and non-linear partial differential equations I, II. Ann. Scuola Norm. Sup. Pisa20 (1966), 265–315, 499–535.
Nash, J.: The imbedding problem for Riemannian manifolds. Ann. of Math.63 (1956), 20–63.
Zehnder, E.: Generalized implicit function theorems with applications to some small divisor problems I. Comm. Pure Appl. Math.28 (1975), 91–140.
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Günthier, M. On the perturbation problem associated to isometric embeddings of Riemannian manifolds. Ann Glob Anal Geom 7, 69–77 (1989). https://doi.org/10.1007/BF00137403
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DOI: https://doi.org/10.1007/BF00137403