The moduli space of nonnegatively curved metrics on quotients of S2 × S3 by involutions

Goodman, McFeely Jackson; Wermelinger, Jonathan

doi:10.1016/j.difgeo.2022.101938

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2023

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“…In the case where M is nonspin, but its universal cover is Spin, there are cases where R + (M) is not connected or has even infinitely many path components, see [2,7,8,15,16,23,25]. For totally nonspin manifolds, Kastenholz-Reinhold give an example of a closed, totally nonspin manifold of dimension 6 whose space of psc-metrics has infinitely many components in [21].…”

Section: Remark 12 (State Of the Art)mentioning

confidence: 99%

Spaces of positive scalar curvature metrics on totally nonspin manifolds with spin boundary

Frenck

2023

Math. Z.

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In this article we study the space of positive scalar curvature metrics on totally nonspin manifolds with spin boundary. We prove that for such manifolds of certain dimensions, those spaces are not connected and have nontrivial fundamental group. Furthermore we show that a well-known propagation technique for detection results on spaces of positive scalar curvature metrics on spin manifolds ceases to work in the totally nonspin case.

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Section: Remark 12 (State Of the Art)mentioning

confidence: 99%

Spaces of positive scalar curvature metrics on totally nonspin manifolds with spin boundary

Frenck

2023

Math. Z.

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show abstract

The moduli space of nonnegatively curved metrics on quotients of S2 × S3 by involutions

Cited by 1 publication

References 24 publications

Spaces of positive scalar curvature metrics on totally nonspin manifolds with spin boundary

Spaces of positive scalar curvature metrics on totally nonspin manifolds with spin boundary

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The moduli space of nonnegatively curved metrics on quotients of S2 × S3 by involutions

Cited by 1 publication

References 24 publications

Spaces of positive scalar curvature metrics on totally nonspin manifolds with spin boundary

Spaces of positive scalar curvature metrics on totally nonspin manifolds with spin boundary

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The moduli space of nonnegatively curved metrics on quotients of S2 × S3 by involutions