Volume 14, issue 1 (2014)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 25
Issue 6, 3145–3787
Issue 5, 2527–3144
Issue 4, 1917–2526
Issue 3, 1265–1915
Issue 2, 645–1264
Issue 1, 1–644

Volume 24, 9 issues

Volume 23, 9 issues

Volume 22, 8 issues

Volume 21, 7 issues

Volume 20, 7 issues

Volume 19, 7 issues

Volume 18, 7 issues

Volume 17, 6 issues

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

The Journal
About the journal
Ethics and policies
Peer-review process
 
Submission guidelines
Submission form
Editorial board
 
Subscriptions
 
ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
 
Author index
To appear
 
Other MSP journals
Lipschitz minimality of the multiplication maps of unit complex, quaternion and octonion numbers

Haomin Wen

Algebraic & Geometric Topology 14 (2014) 407–420
Bibliography
1 D DeTurck, H Gluck, P Storm, Lipschitz minimality of Hopf fibrations and Hopf vector fields, Algebr. Geom. Topol. 13 (2013) 1369 MR3071130
2 H Gluck, F Warner, W Ziller, The geometry of the Hopf fibrations, Enseign. Math. 32 (1986) 173 MR874686
3 M Gromov, Homotopical effects of dilatation, J. Differential Geom. 13 (1978) 303 MR551562
4 M Gromov, Metric structures for Riemannian and non-Riemannian spaces, Birkhäuser (2007) MR2307192
5 R Olivier, Über die Dehnung von Sphärenbbildungen, Invent. Math. 1 (1966) 380 MR0203651
6 B White, Infima of energy functionals in homotopy classes of mappings, J. Differential Geom. 23 (1986) 127 MR845702
7 J A Wolf, Geodesic spheres in Grassmann manifolds, Illinois J. Math. 7 (1963) 425 MR0156294
8 Y C Wong, Isoclinic $n$–planes in Euclidean $2n$–space, Clifford parallels in elliptic $(2n-1)$–space, and the Hurwitz matrix equations, Mem. Amer. Math. Soc. 41, Amer. Math. Soc. (1961) MR0145437