scholarly journals Highly connected manifolds of positive $p$-curvature

2014 ◽  
Vol 366 (7) ◽  
pp. 3405-3424 ◽  
Author(s):  
Boris Botvinnik ◽  
Mohammed Labbi
Keyword(s):  
Highly Connected Manifolds

scholarly journals On Moduli Spaces of Positive Scalar Curvature Metrics on Highly Connected Manifolds

2020 ◽  
Author(s):  
Michael Wiemeler
Keyword(s):  
Fundamental Group ◽  
Scalar Curvature ◽  
Moduli Space ◽  
Moduli Spaces ◽  
Positive Scalar Curvature ◽  
Spin Manifold ◽  
Homotopy Groups ◽  
Positive Scalar ◽  
Simply Connected ◽  
Highly Connected Manifolds

Abstract Let $M$ be a simply connected spin manifold of dimension at least six, which admits a metric of positive scalar curvature. We show that the observer moduli space of positive scalar curvature metrics on $M$ has non-trivial higher homotopy groups. Moreover, denote by $\mathcal{M}_0^+(M)$ the moduli space of positive scalar curvature metrics on $M$ associated to the group of orientation-preserving diffeomorphisms of $M$. We show that if $M$ belongs to a certain class of manifolds that includes $(2n-2)$-connected $(4n-2)$-dimensional manifolds, then the fundamental group of $\mathcal{M}_0^+(M)$ is non-trivial.

scholarly journals Abelian quotients of mapping class groups of highly connected manifolds

2015 ◽  
Vol 365 (1-2) ◽  
pp. 857-879 ◽  
Author(s):  
Søren Galatius ◽  
Oscar Randal-Williams
Keyword(s):  
Mapping Class Groups ◽  
Mapping Class ◽  
Class Groups ◽  
Highly Connected Manifolds

scholarly journals Highly connected manifolds with positive Ricci curvature

2006 ◽  
Vol 10 (4) ◽  
pp. 2219-2235 ◽  
Author(s):  
Charles P Boyer ◽  
Krzysztof Galicki
Keyword(s):  
Ricci Curvature ◽  
Positive Ricci Curvature ◽  
Highly Connected Manifolds

scholarly journals Positive Ricci curvature on highly connected manifolds

2017 ◽  
Vol 106 (2) ◽  
pp. 187-243 ◽  
Author(s):  
Diarmuid Crowley ◽  
David J. Wraith
Keyword(s):  
Ricci Curvature ◽  
Positive Ricci Curvature ◽  
Highly Connected Manifolds

Semi-free ? p -Actions on highly-connected manifolds

1975 ◽  
Vol 145 (2) ◽  
pp. 163-185 ◽  
Author(s):  
Steven H. Weintraub
Keyword(s):  
Highly Connected Manifolds
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