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Monogenic Functions in Conformal Geometry
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2007, том 3
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Monogenic Functions in Conformal Geometry
Інший ID:
2000 Mathematics Subject Classification: 53A30; 58J70; 15A66
Посилання:
Monogenic Functions in Conformal Geometry / M. Eastwood, J. Ryan // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 18 назв. — англ.
Підтримка:
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.
Дата:
2007
Переглядів:
561
Завантажень:
255
Анотація:
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.
