Literature Cited
H. Omori, “On the group of diffeomorphisms on a compact manifold,” Proc. Symp. Pure Math.,15, Am. Math. Soc. (1970).
D. J. Eben and J. E. Marsden, “Groups of diffeomorphisms and the motion of an incompressible fluid,” Ann. Math.,92, No. 1, 102–163 (1970).
H. Omori, “On smooth extension theorems,” J. Math. Soc. Jpn.,24, No. 3, 405–432 (1972).
N. K. Smolentsev, “Bivariant metric on the group of diffeomorphisms of a three-dimensional manifold,” Sib. Mat. Zh.,24, No. 1, 152–159 (1983).
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Translated from Sibirskii Matematicheskii Zhurnal, Vol. 25, No. 2, pp. 180–185, March–April, 1984.
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Smolentsev, N.K. A group of diffeomorphisms which leave a vector field fixed. Sib Math J 25, 313–317 (1984). https://doi.org/10.1007/BF00971469
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DOI: https://doi.org/10.1007/BF00971469