Structure of geodesics in weakly symmetric Finsler metrics on H-type groups
Archivum mathematicum, Tome 56 (2020) no. 5, pp. 265-275

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MR Zbl
Structure of geodesic graphs in special families of invariant weakly symmetric Finsler metrics on modified H-type groups is investigated. Geodesic graphs on modified H-type groups with the center of dimension $1$ or $2$ are constructed. The new patterns of algebraic complexity of geodesic graphs are observed.
Structure of geodesic graphs in special families of invariant weakly symmetric Finsler metrics on modified H-type groups is investigated. Geodesic graphs on modified H-type groups with the center of dimension $1$ or $2$ are constructed. The new patterns of algebraic complexity of geodesic graphs are observed.
DOI : 10.5817/AM2020-5-265
Classification : 53C22, 53C30, 53C60
Keywords: Finsler space; weakly symmetric space; g.o. space; homogeneous geodesic; geodesic graph
Dušek, Zdeněk. Structure of geodesics in weakly symmetric Finsler metrics on H-type groups. Archivum mathematicum, Tome 56 (2020) no. 5, pp. 265-275. doi: 10.5817/AM2020-5-265
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