Products of symmetric spaces, and k-networks |
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| Authors: | Yoshio Tanaka |
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| Affiliation: | Department of Mathematics, Tokyo Gakugei University, 4-1-1 Nukui Kita-Machi, Koganei-shi, Tokyo 184-8501, Japan |
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| Abstract: | As is well known, every product of symmetric spaces need not be symmetric. For symmetric spaces X and Y, in terms of their balls, we give characterizations for the product X×Y to be symmetric under X and Y having certain k-networks, or Y being semi-metric. |
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| Keywords: | primary, 54B10, 54E25, 54E99 secondary, 54B15, 54D50 |
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