Relationships among non-flat totally geodesic surfaces in symmetric spaces of type A and their polynomial representations
2019 年 42 巻 2 号 p. 203-222
詳細
2019 年 42 巻 2 号 p. 203-222
We give computational systems of polynomial representations of the composition maps of non-flat totally geodesic surfaces of the symmetric spaces of type A which are obtained by K. Mashimo, and the Cartan imbeddings of symmetric spaces of type A to SU(n). We obtain the relationships among the non-flat totally geodesic surfaces in symmetric spaces of types AI, AII and AIII by this methods.
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