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arXiv · 1905.11214

On some information geometric structures concerning Mercator projections

Tatsuaki Wada
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Abstract

Some information geometric structures concerning the Mercator projections are studied. It is known that a loxodrome on the surface of the globe is related to the straight line on a Mercator map by the Mercator projection. It is not well known that an affine connection with torsion plays a fundamental role to describe an auto-parallel path on the surface. Based on these information geometric structures, Gauss distribution is reconsidered from the view point of the affine connection with a torsion. Some relations with deformed functions are also pointed out.

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Tatsuaki Wada. 2019-05-23. On some information geometric structures concerning Mercator projections. https://doi.org/10.1016/j.physa.2019.121591

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