Monogenic Functions in Conformal Geometry
Monogenic functions are basic to Clifford analysis. On Euclidean space they are defined as smooth functions with values in the corresponding Clifford algebra satisfying a certain system of first order differential equations, usually referred to as the Dirac equation. There are two equally natural ex...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2007 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2007
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/147228 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Monogenic Functions in Conformal Geometry / M. Eastwood, J. Ryan // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 18 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862537115074560000 |
|---|---|
| author | Eastwood, M. Ryan, J. |
| author_facet | Eastwood, M. Ryan, J. |
| citation_txt | Monogenic Functions in Conformal Geometry / M. Eastwood, J. Ryan // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 18 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | Monogenic functions are basic to Clifford analysis. On Euclidean space they are defined as smooth functions with values in the corresponding Clifford algebra satisfying a certain system of first order differential equations, usually referred to as the Dirac equation. There are two equally natural extensions of these equations to a Riemannian spin manifold only one of which is conformally invariant. We present a straightforward exposition.
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| first_indexed | 2025-11-24T11:38:35Z |
| format | Article |
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| id | nasplib_isofts_kiev_ua-123456789-147228 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-24T11:38:35Z |
| publishDate | 2007 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Eastwood, M. Ryan, J. 2019-02-13T19:31:40Z 2019-02-13T19:31:40Z 2007 Monogenic Functions in Conformal Geometry / M. Eastwood, J. Ryan // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 18 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 53A30; 58J70; 15A66 https://nasplib.isofts.kiev.ua/handle/123456789/147228 Monogenic functions are basic to Clifford analysis. On Euclidean space they are defined as smooth functions with values in the corresponding Clifford algebra satisfying a certain system of first order differential equations, usually referred to as the Dirac equation. There are two equally natural extensions of these equations to a Riemannian spin manifold only one of which is conformally invariant. We present a straightforward exposition. This paper is a contribution to the Proceedings of the 2007 Midwest Geometry Conference in honor of Thomas P. Branson. It is a pleasure to acknowledgment useful conversations with Vladim´ır Souˇcek. He is certainly one person for whom the ‘well-known’ material in this article is actually known. Michael Eastwood is a Professorial Fellow of the Australian Research Council. This research was begun during a visit by John Ryan to the University of Adelaide in 2005, which was also supported by the Australian Research Council. This support is gratefully acknowledged. John Ryan also thanks the University of Adelaide for hospitality during his visit. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Monogenic Functions in Conformal Geometry Article published earlier |
| spellingShingle | Monogenic Functions in Conformal Geometry Eastwood, M. Ryan, J. |
| title | Monogenic Functions in Conformal Geometry |
| title_full | Monogenic Functions in Conformal Geometry |
| title_fullStr | Monogenic Functions in Conformal Geometry |
| title_full_unstemmed | Monogenic Functions in Conformal Geometry |
| title_short | Monogenic Functions in Conformal Geometry |
| title_sort | monogenic functions in conformal geometry |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/147228 |
| work_keys_str_mv | AT eastwoodm monogenicfunctionsinconformalgeometry AT ryanj monogenicfunctionsinconformalgeometry |