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Horizontal curves of hyperbolic metrics

Abstract:
We analyse the fine convergence properties of one parameter families of hyperbolic metrics that move always in a horizontal direction, i.e. orthogonal to the action of diffeomorphisms. Such families arise naturally in the study of general curves of metrics on surfaces, and in one of the gradients flows for the harmonic map energy.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1007/s00526-018-1386-y

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Oxford college:
Trinity College
Role:
Author
ORCID:
0000-0002-9139-1400
More from this funder
Funding agency for:
Topping, P
Grant:
EP/K00865X/1
Publisher:
Springer Verlag Publisher's website
Journal:
Calculus of Variations and Partial Differential Equations Journal website
Volume:
57
Article number:
106
Publication date:
2018-06-15
Acceptance date:
2018-05-12
DOI:
EISSN:
1432-0835
ISSN:
0944-2669
Pubs id:
pubs:847689
UUID:
uuid:d118040e-ffc1-4a21-8586-428ba24c2d61
Local pid:
pubs:847689
Source identifiers:
847689
Deposit date:
2018-05-14

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