The eta invariant and theK-theory of odd dimensional spherical space forms

1984 ◽  
Vol 76 (3) ◽  
pp. 421-453 ◽  
Author(s):  
P. B. Gilkey
Keyword(s):  
Spherical Space ◽  
Space Forms ◽  
Eta Invariant ◽  
Spherical Space Forms

Metrics of Positive Scalar Curvature on Spherical Space Forms

1996 ◽  
Vol 48 (1) ◽  
pp. 64-80 ◽  
Author(s):  
Boris Botvinnik ◽  
Peter B. Gilkey
Keyword(s):  
Scalar Curvature ◽  
Space Form ◽  
Positive Scalar Curvature ◽  
Spherical Space ◽  
Space Forms ◽  
Eta Invariant ◽  
Positive Scalar ◽  
Spherical Space Forms ◽  
Simply Connected ◽  
Spherical Space Form

AbstractWe use the eta invariant to show every non-simply connected spherical space form of dimension m ≥ 5 has a countable family of non bordant metrics of positive scalar curvature.

scholarly journals K-theory for spherical space forms

1987 ◽  
Vol 25 (2) ◽  
pp. 179-184 ◽  
Author(s):  
Peter B. Gilkey ◽  
Max Karoubi
Keyword(s):  
Spherical Space ◽  
Space Forms ◽  
Spherical Space Forms ◽  
K Theory

Spherical Space Forms: Homotopy Types and Self-Equivalences for the Group (ℤ/a ⋊ ℤ/b) × SL2 (p)

2007 ◽  
Vol 50 (2) ◽  
pp. 206-214 ◽  
Author(s):  
Marek Golasiński ◽  
Daciberg Lima Gonçalves
Keyword(s):  
Automorphism Group ◽  
Homotopy Type ◽  
Spherical Space ◽  
Space Forms ◽  
Homotopy Types ◽  
Spherical Space Forms

AbstractLet G = (ℤ/a ⋊ ℤ/b) × SL2(p), and let X(n) be an n-dimensional CW-complex of the homotopy type of an n-sphere. We study the automorphism group Aut(G) in order to compute the number of distinct homotopy types of spherical space forms with respect to free and cellular G-actions on all CW-complexes X(2dn − 1), where 2d is the period of G. The groups ε(X(2dn − 1)/μ) of self homotopy equivalences of space forms X(2dn − 1)/μ associated with free and cellular G-actions μ on X(2dn − 1) are determined as well.

Cellular decomposition of quaternionic spherical space forms

2012 ◽  
Vol 162 (1) ◽  
pp. 9-24 ◽  
Author(s):  
O. Manzoli Neto ◽  
T. de Melo ◽  
M. Spreafico
Keyword(s):  
Spherical Space ◽  
Space Forms ◽  
Cellular Decomposition ◽  
Spherical Space Forms
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