Richard Palais

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Richard Palais (right) and Chuu-Lian Terng (wife) in Oberwolfach, 2010

Richard Sheldon Palais (born May 22, 1931) is a mathematician working in geometry who introduced the Mostow–Palais theorem, the Lie–Palais theorem, the Morse–Palais lemma, and the Palais–Smale compactness condition.

In 2012 he became a fellow of the American Mathematical Society.[1]

Important publications[edit]

  • R. Palais and S. Smale, A generalized Morse theory, Research Announcement, Bull. Amer. Math. Soc. 70 (1964), 165-172 ([1])
  • R. Palais, Morse Theory on Hilbert Manifolds, Topology 2 (1963), 299-340.
  • R. Palais, Seminar on the Atiyah-Singer Index Theorem, Annals of Math. Study, no.4, 1964, Princeton Univ. Press.([2])
  • R. Palais, Linear and Nonlinear Waves and Solitons, in The Princeton Companion to Mathematics, T. Gower Ed., Princeton Univ. Press 2008, 234-239 ([3])
  • R. Palais, The Symmetries of Solitons, Bulletin. Amer. Math. Soc.,New Series 34, No. 4, 339-403 (1997) [ISSN 0273-0979], ([4])
  • R. Palais, The Visualization of Mathematics: Towards a Mathematical Exploratorium, Notices Amer. Math. Soc., 46, No.6 (June–July 1999, ([5])
  • R. Palais, A Simple Proof of the Banach Contraction Principle, The Journal for Fixed Point Theory and its Applications, 2 (2007) 221–223, ([6])

A nearly complete list of all papers authored or co-authored by Richard Palais is available for downloading as PDF files at


External links[edit]