Geodesic
Diameter of the Berger Sphere
Matematičeskie zametki, Tome 103 (2018) no. 5, pp. 779-784.

Voir la notice de l'article provenant de la source Math-Net.Ru

Keywords: Riemannian geometry, Berger sphere, geodesic, cut time, diameter, the group $\operatorname{SU}_2$. 
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A. V. Podobryaev. Diameter of the Berger Sphere. Matematičeskie zametki, Tome 103 (2018) no. 5, pp. 779-784. http://geodesic.mathdoc.fr/item/MZM_2018_103_5_a13/

[1] O. Lablée, Spectral Theory in Riemannian Geometry, EMS, Zürich, 2015 | MR | Zbl

[2] M. Berger, Ann. Scuola Norm. Sup. Pisa (3), 15 (1961), 179–246 | MR

[3] N. Eldredge, M. Gordina, L. Saloff-Coste, Left-Invariant Geometries on SU(2) are Uniformly Doubling, 2017, arXiv: 1708.03021

[4] A. V. Podobryaev, Yu. L. Sachkov, J. Geom. Phys., 110 (2016), 436–453 | DOI | MR

[5] A. A. Agrachev, Yu. L. Sachkov, Geometricheskaya teoriya upravleniya, Fizmatlit, M., 2004

[6] L. Bates, F. Fassò, Int. Math. Forum, 2:43 (2007), 2109–2139 | DOI | MR

[7] Yu. L. Sachkov, Matem. sb., 197:4 (2006), 123–150 | DOI | MR | Zbl

[8] S. P. Novikov, I. A. Taimanov, Sovremennye geometricheskie struktury i polya, MTsNMO, M., 2005

[9] S. G. Krantz, H. R. Parks, The Implicit Function Theorem: History, Theory and Applications, Birkhäuser, Basel, 2001 | MR