Geodesic
Germs of fibrations of spheres by great circles always extend to the whole sphere
Cahn, Patricia1 ; Gluck, Herman2 ; Nuchi, Haggai3
1 Department of Mathematics and Statistics, Smith College, Northampton, MA, United States
2 Department of Mathematics, University of Pennsylvania, Philadelphia, PA, United States
3 Department of Mathematics, University of Toronto, Toronto, ON, Canada
Algebraic and Geometric Topology, Tome 18 (2018) no. 3, pp. 1323-1360

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

We prove that every germ of a smooth fibration of an odd-dimensional round sphere by great circles extends to such a fibration of the entire sphere, a result previously known only in dimension three.

DOI : 10.2140/agt.2018.18.1323
Classification : 53A07, 53C22, 55R10
Keywords: fibration, great circles, fiber bundles, Blaschke manifold, spheres

Cahn, Patricia 1 ; Gluck, Herman 2 ; Nuchi, Haggai 3

1 Department of Mathematics and Statistics, Smith College, Northampton, MA, United States
2 Department of Mathematics, University of Pennsylvania, Philadelphia, PA, United States
3 Department of Mathematics, University of Toronto, Toronto, ON, Canada 
@article{10_2140_agt_2018_18_1323,
     author = {Cahn, Patricia and Gluck, Herman and Nuchi, Haggai},
     title = {Germs of fibrations of spheres by great circles always extend to the whole sphere},
     journal = {Algebraic and Geometric Topology},
     pages = {1323--1360},
     publisher = {mathdoc},
     volume = {18},
     number = {3},
     year = {2018},
     doi = {10.2140/agt.2018.18.1323},
     url = {http://geodesic.mathdoc.fr/articles/10.2140/agt.2018.18.1323/}
}
TY  - JOUR
AU  - Cahn, Patricia
AU  - Gluck, Herman
AU  - Nuchi, Haggai
TI  - Germs of fibrations of spheres by great circles always extend to the whole sphere
JO  - Algebraic and Geometric Topology
PY  - 2018
SP  - 1323
EP  - 1360
VL  - 18
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.2140/agt.2018.18.1323/
DO  - 10.2140/agt.2018.18.1323
ID  - 10_2140_agt_2018_18_1323
ER  - 
%0 Journal Article
%A Cahn, Patricia
%A Gluck, Herman
%A Nuchi, Haggai
%T Germs of fibrations of spheres by great circles always extend to the whole sphere
%J Algebraic and Geometric Topology
%D 2018
%P 1323-1360
%V 18
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.2140/agt.2018.18.1323/
%R 10.2140/agt.2018.18.1323
%F 10_2140_agt_2018_18_1323
Cahn, Patricia; Gluck, Herman; Nuchi, Haggai. Germs of fibrations of spheres by great circles always extend to the whole sphere. Algebraic and Geometric Topology, Tome 18 (2018) no. 3, pp. 1323-1360. doi: 10.2140/agt.2018.18.1323

Cité par Sources :