Geodesic
On the extended $n$-point tube
Teoretičeskaâ i matematičeskaâ fizika, Tome 27 (1976) no. 1, pp. 3-15

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The geometry of the extended $n$-point tube is discussed. The surfaces forming its boundary are classified. The question of whether or not the extended tube is a holomorphy domain is considered. 
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     author = {B. I. Zavialov and V. B. Trushin},
     title = {On the extended $n$-point tube},
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B. I. Zavialov; V. B. Trushin. On the extended $n$-point tube. Teoretičeskaâ i matematičeskaâ fizika, Tome 27 (1976) no. 1, pp. 3-15. http://geodesic.mathdoc.fr/item/TMF_1976_27_1_a0/