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The Decomposition of Global Conformal Invariants: Some Technical Proofs. I
Репозиторій DSpace/Manakin
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2011, том 7
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The Decomposition of Global Conformal Invariants: Some Technical Proofs. I
Інший ID:
2010 Mathematics Subject Classification: 53B20; 53A55
DOI:10.3842/SIGMA.2011.019
DOI:10.3842/SIGMA.2011.019
Посилання:
The Decomposition of Global Conformal Invariants: Some Technical Proofs. I / S. Alexakis // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 26 назв. — англ.
Підтримка:
This work has absorbed the best part of the author’s energy over many years. This research was partially conducted during the period the author served as a Clay Research Fellow, an MSRI postdoctoral fellow, a Clay Liftof f fellow and a Procter Fellow. The author is immensely indebted to Charles Fef ferman for devoting twelve long months to the meticulous proof-reading of the present paper. He also wishes to express his gratitude to the Mathematics Department of Princeton University for its support during his work on this project
Дата:
2011
Переглядів:
529
Завантажень:
242
Анотація:
This paper forms part of a larger work where we prove a conjecture of Deser and Schwimmer regarding the algebraic structure of ''global conformal invariants''; these are defined to be conformally invariant integrals of geometric scalars. The conjecture asserts that the integrand of any such integral can be expressed as a linear combination of a local conformal invariant, a divergence and of the Chern-Gauss-Bonnet integrand.
