Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

The Line Element Approach for the Geometry of Poincare Disk

Version 1 : Received: 12 January 2019 / Approved: 15 January 2019 / Online: 15 January 2019 (10:00:40 CET)

How to cite: Kim, J.R. The Line Element Approach for the Geometry of Poincare Disk. Preprints 2019, 2019010151. https://doi.org/10.20944/preprints201901.0151.v1 Kim, J.R. The Line Element Approach for the Geometry of Poincare Disk. Preprints 2019, 2019010151. https://doi.org/10.20944/preprints201901.0151.v1

Abstract

The geometry of Poincare disk itself is interpreted without any mapping to di erent spaces. Our approach might be one of the shortest and is intended for educational contribution.

Keywords

Poincare disk; inner product; cross ratio; holomorphic function; angle; line element

Subject

Computer Science and Mathematics, Geometry and Topology

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