A survey of the compact space form problem

1982 ◽  
pp. 219-255 ◽  
Author(s):  
R. James Milgram
Keyword(s):  
Compact Space ◽  
Space Form ◽  
Form Problem

The topological-Euclidean space form problem

1978 ◽  
Vol 45 (2) ◽  
pp. 181-192 ◽  
Author(s):  
F. T. Farrell ◽  
W. C. Hsiang
Keyword(s):  
Euclidean Space ◽  
Space Form ◽  
Form Problem

scholarly journals Topological spherical space form problem. III. Dimensional bounds and smoothing

1983 ◽  
Vol 106 (1) ◽  
pp. 135-143 ◽  
Author(s):  
Ib Madsen ◽  
Charles Thomas ◽  
C. Terence C. Wall
Keyword(s):  
Space Form ◽  
Spherical Space ◽  
Form Problem ◽  
Spherical Space Form

Space Forms of Grassmann Manifolds

1963 ◽  
Vol 15 ◽  
pp. 193-205 ◽  
Author(s):  
Joseph A. Wolf
Keyword(s):  
Riemannian Manifolds ◽  
Grassmann Manifold ◽  
Space Form ◽  
Classification Problem ◽  
Grassmann Manifolds ◽  
Space Forms ◽  
Real Complex ◽  
Form Problem ◽  
Spherical Space Form ◽  
Real Euclidean Space

We shall consider the classification problem for space forms of (Riemannian manifolds which are covered by) real, complex, and quaternionic Grassmann manifolds. In the particular case of the real Grassmann manifold of oriented 1-dimensional subspaces of a real Euclidean space, this is the classical "spherical space form problem" of Clifford and Klein. We shall not consider space forms of the Cayley projective plane because it is easy to see that there are no non-trivial ones.

scholarly journals The topological spherical space form problem—II existence of free actions

Topology ◽  
1976 ◽  
Vol 15 (4) ◽  
pp. 375-382 ◽  
Author(s):  
I. Madsen ◽  
C.B. Thomas ◽  
C.T.C. Wall
Keyword(s):  
Space Form ◽  
Spherical Space ◽  
Free Actions ◽  
Form Problem ◽  
Spherical Space Form

scholarly journals The existence of two non-contractible closed geodesics on every bumpy Finsler compact space form

2018 ◽  
Vol 38 (8) ◽  
pp. 3803-3829 ◽  
Author(s):  
Hui Liu ◽  
◽  
Yiming Long ◽  
Yuming Xiao ◽  
◽  
...  
Keyword(s):  
Compact Space ◽  
Space Form ◽  
Closed Geodesics
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