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Turbo
Turbo
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Mobius transformations map circles to circles.

Wiki says 'Möbius transformations can be more generally defined in spaces of dimension n>2 as the bijective conformal orientation-preserving maps from the n-sphere to the n-sphere'.

Is there an explicit way to given such transformations in $n$-dimenstions?

Mobius transformations map circles to circles.

Wiki says 'Möbius transformations can be more generally defined in spaces of dimension n>2 as the bijective conformal orientation-preserving maps from the n-sphere to the n-sphere'.

Is there an explicit way to given such transformations in $n$-dimenstions?

Mobius transformations map circles to circles.

Wiki says 'Möbius transformations can be more generally defined in spaces of dimension n>2 as the bijective conformal orientation-preserving maps from the n-sphere to the n-sphere'.

Is there an explicit way to given such transformations in $n$-dimenstions?

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Source Link
Turbo
Turbo
  • 13.9k
  • 1
  • 27
  • 76

Explicit generalizations of Mobius transformations?

Mobius transformations map circles to circles.

Wiki says 'Möbius transformations can be more generally defined in spaces of dimension n>2 as the bijective conformal orientation-preserving maps from the n-sphere to the n-sphere'.

Is there an explicit way to given such transformations in $n$-dimenstions?