Uniqueness of minimal diffeomorphisms between surfaces
We prove that there exists at most one minimal diffeomorphism in a given homotopy class between any two closed Riemannian surfaces. This results was previously known only under the assumption that the Riemannian metrics have constant Gaussian curvature. Along the way, we prove the New Main Inequalit...
| Main Author: | |
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| Format: | Journal article |
| Language: | English |
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Wiley
2021
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| _version_ | 1826308084882997248 |
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| author | Markovic, V |
| author_facet | Markovic, V |
| author_sort | Markovic, V |
| collection | OXFORD |
| description | We prove that there exists at most one minimal diffeomorphism in a given homotopy class between any two closed Riemannian surfaces. This results was previously known only under the assumption that the Riemannian metrics have constant Gaussian curvature. Along the way, we prove the New Main Inequality which substantially strengthens the classical Reich–Strebel inequality for quasiconformal maps. |
| first_indexed | 2024-03-07T07:12:44Z |
| format | Journal article |
| id | oxford-uuid:b5142e8e-ee06-4652-8f0b-1c0c8b545786 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T07:12:44Z |
| publishDate | 2021 |
| publisher | Wiley |
| record_format | dspace |
| spelling | oxford-uuid:b5142e8e-ee06-4652-8f0b-1c0c8b5457862022-07-08T14:22:11ZUniqueness of minimal diffeomorphisms between surfacesJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:b5142e8e-ee06-4652-8f0b-1c0c8b545786EnglishSymplectic ElementsWiley2021Markovic, VWe prove that there exists at most one minimal diffeomorphism in a given homotopy class between any two closed Riemannian surfaces. This results was previously known only under the assumption that the Riemannian metrics have constant Gaussian curvature. Along the way, we prove the New Main Inequality which substantially strengthens the classical Reich–Strebel inequality for quasiconformal maps. |
| spellingShingle | Markovic, V Uniqueness of minimal diffeomorphisms between surfaces |
| title | Uniqueness of minimal diffeomorphisms between surfaces |
| title_full | Uniqueness of minimal diffeomorphisms between surfaces |
| title_fullStr | Uniqueness of minimal diffeomorphisms between surfaces |
| title_full_unstemmed | Uniqueness of minimal diffeomorphisms between surfaces |
| title_short | Uniqueness of minimal diffeomorphisms between surfaces |
| title_sort | uniqueness of minimal diffeomorphisms between surfaces |
| work_keys_str_mv | AT markovicv uniquenessofminimaldiffeomorphismsbetweensurfaces |