“Bonnet theorem”的意思、由来-开放百科全书

词条

Bonnet theorem

释义

References

{{about|the Bonnet theorem in differential geometry|Bonnet's theorem in classical mechanics|Bonnet's theorem}}

In the mathematical field of differential geometry, more precisely, the theory of surfaces in Euclidean space, the Bonnet theorem states that the first and second fundamental forms determine a surface in R³ uniquely up to a rigid motion.^[1] It was proven by Pierre Ossian Bonnet in about 1860.

This is not to be confused with the Bonnet–Myers theorem or Gauss–Bonnet theorem.

References

1. ^{{citation | last = Toponogov | first = Victor Andreevich | isbn = 978-0-8176-4384-3 | location = Boston, MA | mr = 2208981 | page = 132 | publisher = Birkhäuser Boston, Inc. | title = Differential geometry of curves and surfaces | url = https://books.google.com/books?id=bwwRg7I02-4C&pg=PA132 | year = 2006}}.

2 : Surfaces|Theorems in differential geometry

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