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Ball models in Hermitian spaces. (English) Zbl 0973.53009

Ball models of complex, quaternionic and octonionic Hermitian elliptic and hyperbolic spaces are considered. There are found the maps of straight lines and real geodesics in these models.

MSC:

53A35 Non-Euclidean differential geometry
51N05 Descriptive geometry
53C22 Geodesics in global differential geometry
53C55 Global differential geometry of Hermitian and Kählerian manifolds
53C26 Hyper-Kähler and quaternionic Kähler geometry, “special” geometry
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