The conformal deformation detour complex for the obstruction tensor

Proceedings of the American Mathematical Society

Volumn 135, Issue 9, 2007, Pages 2961-2965

  Branson, Thomas P ^a   Gover, A Rod ^b  

^a UNIVERSITY OF IOWA   (United States)

^b UNIVERSITY OF AUCKLAND   (New Zealand)

Author keywords

Conformal differential geometry; Elliptic operators

Indexed keywords

EID: 38749130528     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0002-9939-07-08932-0     Document Type: Article

References (15)

1. R. Bach, Zur Weylschen Relativitätstheorie und der Weylschen Erweiterung des Krümmungstensorbegriffs, Math. Z. 9 (1921), 110-135. MR1544454
2. B. D. Boe and D. H. Collingwood, A comparison theory for the structure of induced representations, J. Alg. 94 (1985), 511-545. MR0792968 (87b:22026a)
3. T. Branson, Sharp inequalities, the functional determinant, and the complementary series. Trans. Amer. Math. Soc. 347 (1995), 3671-3742. MR1316845 (96e:58162)
4. T. Branson, Q-curvature and spectral invariants. Rend. Circ. Mat. Palermo (2) Suppl. No. 75 (2005), 11-55. MR2152355 (2006h:53024)
5. T. Branson, and A. R. Gover, Conformally invariant operators, differential forms, cohomology and a generalisation of Q-curvature, Comm. Partial Differential Equations, 30 (2005), 1611-1669. MR2182307 (2006k:58060)
6. T. Branson, and A. R. Gover, Pontrjagin forms and invariant objects related to the Q-curvature, Communications in Contemporary Math., to appear.
7. A. Čap, J. Slovák, and V. Souček, Bernstein-Gelfand-Gelfand sequences, Ann. of Math. 154 (2001), 97-113. MR1847589 (2002h:58034)
8. A. Čap, and V. Souček, Subcomplexes in Curved BGG-Sequences. Preprint math. DG/0508534, http://arXiv.org.
9. D. M. J. Calderbank, and T. Diemer, Differential invariants and curved Bernstein-Gelfand-Gelfand sequences J. Reine Angew. Math. 537 (2001), 67-103. MR1856258 (2002k:58048) (Pubitemid 33572025)
10. A. Čap, and A. R. Gover, Standard tractors and the conformal ambient metric construction, Ann. Global Anal. Geom. 24 (2003), 231-259. MR1996768 (2004g:53016)
11. M. G. Eastwood and J. Slovák, Semiholonomic Verma modules. J. Algebra 197 (1997), 424-448. MR1483772 (98k:22054)
12. C. Fefferman and C. R. Graham, Conformal invariants. The mathematical heritage of Élie Cartan (Lyon, 1984). Astérisque 1985, Numero Hors Série, 95-116. MR0837196 (87g:53060)
13. J. Gasqui and H. GoldSchmidt, Déformations infinitésimales des structures conformes plates (French) [Infinitesimal deformations of flat conformal structures]. Progress in Mathematics, 52. Birkhäuser Boston, Inc., Boston, MA, 1984. MR0776970 (86m:58156)
14. A. R. Gover and L. J. Peterson, The ambient obstruction tensor and the conformal deformation complex, Pacific J. Math., 226 (2006), 309-351. MR2247867
15. C. R. Graham and K. Hirachi, The ambient obstruction tensor and Q-curvature, pp 59-71. AdS-CFT Correspondence: Einstein Metrics and their Conformal Boundaries. IRMA Lect. Math. Theor. Phys. 8. MR2160867 (2006k:53045)