2011
DOI: 10.1093/qmath/har031
|View full text |Cite
|
Sign up to set email alerts
|

On Certain 5-Manifolds With Fundamental Group of Order 2

Abstract: Abstract. In this paper, an explicit classification result for certain 5-manifolds with fundamental group Z/2 is obtained. These manifolds include total spaces of circle bundles over simply-connected 4-manifolds.

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
2
2
1

Citation Types

0
36
0

Year Published

2011
2011
2021
2021

Publication Types

Select...
5

Relationship

0
5

Authors

Journals

citations
Cited by 9 publications
(36 citation statements)
references
References 24 publications
0
36
0
Order By: Relevance
“…for k 1 ≥ 0, k 2 ∈ {0, 1} that act trivially on the second homology group were classified by Hambleton-Su in [26,Theorem 3.1]. The orbit spaces include four smooth manifolds that are homotopy equivalent to the real projective 5-space RP 5 , and that realize two homeomorphism types as involutions on S 5 [26,37].…”
Section: Introduction and Main Resultsmentioning
confidence: 99%
See 4 more Smart Citations
“…for k 1 ≥ 0, k 2 ∈ {0, 1} that act trivially on the second homology group were classified by Hambleton-Su in [26,Theorem 3.1]. The orbit spaces include four smooth manifolds that are homotopy equivalent to the real projective 5-space RP 5 , and that realize two homeomorphism types as involutions on S 5 [26,37].…”
Section: Introduction and Main Resultsmentioning
confidence: 99%
“…The orbit spaces include four smooth manifolds that are homotopy equivalent to the real projective 5-space RP 5 , and that realize two homeomorphism types as involutions on S 5 [26,37]. Theorem 1.3 Every closed smooth fibered 5-manifold with fundamental group of order two and torsion-free second homology M admits an F -structure, and consequently In dimension six, using the classification of Smale [51] of 2-connected 6-manifolds and the classification of Hambleton [24] of free differentiable orientation-preserving involutions on a connected sum k(S 3 × S 3 ), we obtain the following result.…”
Section: Introduction and Main Resultsmentioning
confidence: 99%
See 3 more Smart Citations