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Pyramid Ricci flow in higher dimensions

Abstract:

In this paper, we construct a pyramid Ricci flow starting with a complete Riemannian manifold (Mn,g0) that is PIC1, or more generally satisfies a lower curvature bound KIC1≥−α0. That is, instead of constructing a flow on M×[0,T], we construct it on a subset of space-time that is a union of parabolic cylinders Bg0(x0,k)×[0,Tk] for each k∈N, where Tk↓0, and prove estimates on the curvature and Riemannian distance. More generally, we construct a pyramid Ricci flow starting with any noncollapsed ...

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Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1007/s00209-020-02472-1

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Division:
MPLS
Department:
Mathematical Institute
Sub department:
Mathematical Institute
Role:
Author
Publisher:
Springer (part of Springer Nature)
Journal:
Mathematische Zeitschrift More from this journal
Publication date:
2020-02-01
Acceptance date:
2019-10-21
DOI:
EISSN:
1432-1823
ISSN:
0025-5874
Language:
English
Keywords:
Pubs id:
1114882
Local pid:
pubs:1114882
Deposit date:
2020-06-26

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