Cut locus of a left invariant Riemannian metric on SO3 in the axisymmetric case

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18470%2F16%3A50005288" target="_blank" >RIV/62690094:18470/16:50005288 - isvavai.cz</a>
Result on the web
<a href="http://www.sciencedirect.com/science/article/pii/S039304401630225X" target="_blank" >http://www.sciencedirect.com/science/article/pii/S039304401630225X</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.geomphys.2016.09.005" target="_blank" >10.1016/j.geomphys.2016.09.005</a>

Result language
angličtina
Original language name
Cut locus of a left invariant Riemannian metric on SO3 in the axisymmetric case
Original language description
We consider a left invariant Riemannian metric on SO3 with two equal eigenvalues. We find the cut locus and the equation for the cut time. We find the diameter of such metric and describe the set of all most distant points from the identity. Also we prove that the cut locus and the cut time converge to the cut locus and the cut time in the sub-Riemannian problem on SO3 as one of the metric eigenvalues tends to infinity.
Czech name
—
Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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