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Bulletin of the American Mathematical Society

ISSN 1088-9485(online) ISSN 0273-0979(print)

Book Review

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Book Information:

Author: Ethan Akin
Title: The metric theory of Banach manifolds
Additional book information: Lecture Notes in Math., vol. 662, Springer-Verlag, Berlin and New York, 1978, xix + 306 pp., $13.50.

References [Enhancements On Off] (What's this?)

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  • 3. M. Cantor, Some problems of global analysis on asymptotically simple manifolds (preprint). MR 523260
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  • 11. T. Kato, Quasi-linear equations of evolution with applications to partial differential equations, Lecture Notes in Math., vol. 448, Springer-Verlag, Berlin and New York, 1975, pp. 25-70. MR 407477
  • 12. N. Krikorian, Differentiable structures on function spaces, Trans. Amer. Math. Soc. 171 (1972), 67-82. MR 312525
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  • 14. R. Palais, Homotopy theory of infinite-dimensional manifolds, Topology 5 (1966) 1-16. MR 189028
  • 15. R. Palais, Foundations of global non-linear analysis, Benjamin, New York, 1968. MR 248880
  • 16. R. Palais, Banach manifolds of fiber bundle sections, Actes Congrés Internat Math. 2 (1970), 243-249. MR 448405
  • 17. J. P. Penot, Topologie faible sur des variétés de Banach. Applications aux géodésiques des variétés de Sobolev, J. Differential Geometry 9 (1974), 141-168. MR 470987
  • 18. P. Sobolevskiĭ, Equations of parabolic type in a Banach space, Amer. Math. Soc. Trans. (2) 49 (1966), 1-62.
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Review Information:

Reviewer: Richard Graff
Journal: Bull. Amer. Math. Soc. 1 (1979), 960-965
DOI: https://doi.org/10.1090/S0273-0979-1979-14700-1
American Mathematical Society