Complex Legendre duality
Fuente:
arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2016
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| _version_ | 1866910705411686400 |
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| author | Berndtsson, Bo Cordero-Erausquin, Dario Klartag, Bo'az Rubinstein, Yanir A. |
| author_facet | Berndtsson, Bo Cordero-Erausquin, Dario Klartag, Bo'az Rubinstein, Yanir A. |
| contents | We introduce complex generalizations of the classical Legendre transform, operating on Kähler metrics on a compact complex manifold. These Legendre transforms give explicit local isometric symmetries for the Mabuchi metric on the space of Kähler metrics around any real analytic Kähler metric, answering a question originating in Semmes' work. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1608_05541 |
| institution | arXiv |
| publishDate | 2016 |
| record_format | arxiv |
| spellingShingle | Complex Legendre duality Berndtsson, Bo Cordero-Erausquin, Dario Klartag, Bo'az Rubinstein, Yanir A. Differential Geometry Complex Variables We introduce complex generalizations of the classical Legendre transform, operating on Kähler metrics on a compact complex manifold. These Legendre transforms give explicit local isometric symmetries for the Mabuchi metric on the space of Kähler metrics around any real analytic Kähler metric, answering a question originating in Semmes' work. |
| title | Complex Legendre duality |
| topic | Differential Geometry Complex Variables |
| url | https://arxiv.org/abs/1608.05541 |