Title: Quaternionic Analysis on Riemann Surfaces and Differential Geometry

We present a new approach to the differential geometry of surfaces in $\mathbb{R}^3$ and $\mathbb{R}^4$ that treats this theory as a ``quaternionified'' version of the complex analysis and algebraic geometry of Riemann surfaces.

1991 Mathematics Subject Classification: 53C42 14H99

Keywords and Phrases:

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