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- W3026098221 abstract "In the present paper, we obtain explicit formulae for geodesics in some left-invariant sub-Finsler problems on Heisenberg groups $mathbb{H}_{2n+1}$. Our main assumption is the following: the compact convex set of unit velocities at identity admits a generalization of spherical coordinates. This includes convex hulls and sums of coordinate 2-dimensional sets, all left-invariant sub-Riemannian structures on $mathbb{H}_{2n+1}$, and unit balls in $L_p$-metric for $1le pleinfty$. In the last case, extremals are obtained in terms of incomplete Euler integral of the first kind." @default.
- W3026098221 created "2020-05-29" @default.
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- W3026098221 date "2020-05-15" @default.
- W3026098221 modified "2023-09-26" @default.
- W3026098221 title "Explicit formulae for geodesics in left invariant sub-Finsler problems on Heisenberg groups via convex trigonometry" @default.
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- W3026098221 doi "https://doi.org/10.48550/arxiv.2005.08941" @default.
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