Aequationes mathematicae

, Volume 66, Issue 1–2, pp 85–89 | Cite as

Volume preserving mappings in the spirit of the Mazur-Ulam theorem

Research paper


In this article we describe all volume preserving mappings (linear or not) from a real finite dimensional vector space into itself.

Mathematics Subject Classification (2000).



Volume preservation Mazur-Ulam theorem Special linear group 


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Copyright information

© Birkhäuser-Verlag 2003

Authors and Affiliations

  1. 1.Department of MathematicsNational Technical University of AthensAthensGreece
  2. 2.Inst. für Technische MathematikUniversität InnsbruckInnsbruckAustria

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