Winning Sets and Hyperbolic Geometry Exploring the Riemannian metric in hyperbolic spaces

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Published: Nov 1, 2012
Keywords:
winning sets, hyperbolic geometry, hyperbolic space, dimension, Poincaré upper half plane, complex numbers, Riemannian metric

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Authors

Neel Kumari

CMJ University

Abstract

Let,the hyperbolic space of dimension d+1. For d= 1 it is the upper half plane, known also as the Poincarupper half plane, consisting of complexnumbers with positive imaginary part. Hd+1 is equipped with theRiemannian metric

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Article Details

Issue

Vol. 4 No. 7 (2012): Journal of Advances in Science and Technology (JAST)

Section

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