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What is Hyperbolic Geometry Isometry Proof about?

This paper establishes that a surjective map from n-dimensional hyperbolic space that maps an r-hyperplane into an r-hyperplane is an isometry, without requiring injectivity. This result generalizes previous findings in Euclidean geometry and is proven through a series of lemmas and theorems. The author also discusses related conjectures and the implications of these findings for further research in hyperbolic geometry.

Author

2775402990

Language

EN