2021
DOI: 10.1007/s10711-021-00635-w
|View full text |Cite
|
Sign up to set email alerts
|

Spaces of positive intermediate curvature metrics

Abstract: In this paper we study spaces of Riemannian metrics with lower bounds on intermediate curvatures. We show that the spaces of metrics of positive p-curvature and k-positive Ricci curvature on a given high-dimensional $$\mathrm {Spin}$$ Spin -manifold have many non-trivial homotopy groups provided that the manifold admits such a metric.

Help me understand this report
View preprint versions

Search citation statements

Order By: Relevance

Paper Sections

Select...
1

Citation Types

0
1
0

Year Published

2022
2022
2023
2023

Publication Types

Select...
1
1
1

Relationship

0
3

Authors

Journals

citations
Cited by 3 publications
(1 citation statement)
references
References 34 publications
(65 reference statements)
0
1
0
Order By: Relevance
“…If dim M ≥ 4 and M is spin, the situation changes dramatically. Using a secondary version of the α-invariant, the so called index difference, many non-trivial elements in the homotopy groups of Riem + (M ) were discovered, see for example [Hit74], [Car88], [HSS14], [BERW17], and [Fre21]. A priori, there are two versions of the index difference, one is due to Hitchin [Hit74], the other one is due to .…”
Section: Introductionmentioning
confidence: 99%
“…If dim M ≥ 4 and M is spin, the situation changes dramatically. Using a secondary version of the α-invariant, the so called index difference, many non-trivial elements in the homotopy groups of Riem + (M ) were discovered, see for example [Hit74], [Car88], [HSS14], [BERW17], and [Fre21]. A priori, there are two versions of the index difference, one is due to Hitchin [Hit74], the other one is due to .…”
Section: Introductionmentioning
confidence: 99%