Group of isometries of the Hilbert ball equipped with the Caratheodory metric

Mukund Madhav Mishra; Rachna Aggarwal

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arXiv · 2108.05703

Group of isometries of the Hilbert ball equipped with the Caratheodory metric

Mukund Madhav Mishra·Rachna Aggarwal

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Abstract

In this article, we study the geometry of an infinite dimensional Hyperbolic space. We will consider the group of isometries of the Hilbert ball equipped with the Carath$\acute{e}$odory metric and learn about some special subclasses of this group. We will also find some unitary equivalence condition and compute some cardinalities.

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Mukund Madhav Mishra, Rachna Aggarwal. 2021-08-10. Group of isometries of the Hilbert ball equipped with the Caratheodory metric. https://arxiv.org/abs/2108.05703

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