Publication date: 10 March 2026
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For the Poincaré half-space model in dimension 2, the metric evaluates on the coordinate tangent vectors \(\frac{\partial}{\partial x}, \frac{\partial}{\partial y} \in T_pM\) as \[g_p\!\left(\frac{\partial}{\partial x^i}\bigg|_p,\;\frac{\partial}{\partial x^j}\bigg|_p\right) = \frac{1}{y^2}\,\delta_{ij},\] i.e. the coordinate tangent vectors are orthogonal and each has length \(\frac{1}{y}\) — shrinking to zero as \(p\) approaches the boundary \(y\to 0\), which is what makes the space “infinitely large” near the boundary.
In this episode, James Gallagher speaks to Dr Chris Ponting about the latest DecodeME results, which point to a strong genetic component to ME. And Professor Rosemary Boyton outlines the ambition behind the new Rosetta Stone study, designed to build a detailed evidence base of shared biomarkers across ME and Long COVID.
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Медведев вышел в финал турнира в Дубае17:59
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