Yvette Kosmann-Schwarzbach

Yvette Kosmann-Schwarzbach (born 30 April 1941)[1] is a French mathematician and professor. She has been teaching mathematics at the Lille University of Science and Technology and at the École polytechnique since 1993. Kosmann-Schwarzbach obtained her doctoral degree in 1970 at the University of Paris under supervision of André Lichnerowicz on a dissertation titled Dérivées de Lie des spineurs (Lie derivatives of spinors).[2] She is the author of over fifty articles on differential geometry, algebra and mathematical physics, as well as the co-editor of several books concerning the theory of integrable systems. The Kosmann lift in differential geometry is named after her.[3][4]

Yvette Kosmann-Schwarzbach
Born (1941-04-30) 30 April 1941
Alma materUniversity of Paris
Known forKosmann lift
Scientific career
InstitutionsÉcole polytechnique
University of Lille
Doctoral advisorAndré Lichnerowicz


  • Groups and Symmetries: From Finite Groups to Lie Groups. Translated by Stephanie Frank Singer. Springer 2010, ISBN 978-0387788654.[5]
  • The Noether Theorems: Invariance and Conservation Laws in the Twentieth Century. Translated by Bertram Schwarzbach. Springer 2011, ISBN 978-0387878676.[6]


  1. Birth date from Library of Congress and French National Library, retrieved 2019-10-13
  2. Yvette Kosmann-Schwarzbach at the Mathematics Genealogy Project
  3. Fatibene L., Ferraris M., Francaviglia M. and Godina M. (1996), A geometric definition of Lie derivative for Spinor Fields, in: Proceedings of the 6th International Conference on Differential Geometry and Applications, August 28th–September 1st 1995 (Brno, Czech Republic), Janyska J., Kolář I. & J. Slovák J. (Eds.), Masaryk University, Brno, pp. 549–558
  4. Godina M. and Matteucci P. (2003), Reductive G-structures and Lie derivatives, Journal of Geometry and Physics, 47, pp. 66–86
  5. Reviews of Groups and Symmetries: Aloysius Helminck (2011), MR2553682; Thomas R. Hagedorn (2010), MAA Reviews.
  6. Review of The Noether Theorems: Narciso Román-Roy (2012), MR2761345; Michael Berg (2011), MAA Reviews.
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