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The Carathéodory limiting spherical shells in the euclidean hypersphere
Published online by Cambridge University Press: 26 February 2010
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By means of all functions regular in a domain †G ⋐ Cn Carathéodory [1,2] defined a metric in G. As usual, using this metric, we can define spherical shells in G. That is, if DG(t, q) denotes the Carathéodory metric between t, q∈G measured in G, then the Caratheéodory spherical shell S(t, q) passing through q and with centre t is defined by:
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