Beez's theorem

Short description: In general, an (n – 1)-dimensional hypersurface immersed in Rn cannot be deformed if n > 3

In mathematics, Beez's theorem, introduced by Richard Beez in 1875, implies that if n > 3 then in general an (n – 1)-dimensional hypersurface immersed in Rⁿ cannot be deformed.

References

• Laptev, B. L.; Rozenfeld, Boris A.; Markushevich, A. I. (1996), Mathematics of the 19th century, Birkhäuser Verlag, ISBN 978-3-7643-5048-2, https://books.google.com/books?id=L6z2VmCOQtIC 
• Kobayashi, Shoshichi; Nomizu, Katsumi (1969). Foundations of differential geometry. Vol II. Interscience Tracts in Pure and Applied Mathematics. 15. Reprinted in 1996. New York–London: John Wiley & Sons, Inc.. ISBN 0-471-15732-5. 
• Spivak, Michael (1979). A comprehensive introduction to differential geometry. Vol. V (Second edition of 1975 original ed.). Wilmington, DE: Publish or Perish, Inc.. ISBN 0-914098-83-7.