Rod Gover - Publications
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Research | Publications | Supervision | Teaching
Contents |
Refereed journal articles
[57] (To appear) GOVER, Hill, C.D. and A.R., NUROWSKI, P., Sharp version of the Goldberg-Sachs theorem,Annali di Matematica Pura ed Applicata. arXiv:0911.3364, http://arxiv.org/
[56] (To appear) GOVER, A.R., and LEITNER, F., A class of compact Poincare-Einstein manifolds: properties and construction, Communications in Contemporary Mathematics, 28 pages. arXiv:0808.2097 , http://arxiv.org/
[55] (to appear) GOVER, A.R., and WALDRON, A., The so(d+2,2) Minimal Representation and Ambient Tractors: the Conformal Geometry of Momentum Space, Advances in Theoretical and Mathematical Physics, arXiv:0903.1394, http://arxiv.org/
[54] (2010) GOVER, A.R., Almost Einstein and Poincare-Einstein manifolds in Riemannian signature, J. Geometry and Physics, 60, 182–204.
[53] (2010) GOVER, A.R., Q curvature prescription; forbidden functions and the GJMS null space, Proceedings of the American Mathematical Society, 138, 1453– 1459.
[52] (2010) GOVER, A.R., and SˇILHAN, J., Commuting linear operators and decompositions; applications to Einstein manifolds, Acta Applicanae Mathematicae, 109, 555–589
[51] (2009) GOVER, A.R., and LEITNER, F., A sub-product construction of Poincare-Einstein metrics, International Journal of Mathematics, 20 1263–1287.
[50] (2009) GOVER, A.R., SHAUKAT, A., and WALDRON, A., Weyl Invariance and the Origins of Mass, Physics Letters B, 675, 93–97. http://dx.doi.org/10.1016/j.physletb.2009.03.072
[49] (2009) GOVER, A.R., SHAUKAT, A., and WALDRON, A., Tractors, Mass, and Weyl Invariance, Nuclear Physics B, 812 424-455.
[48] (2008) CˇAP, A., and GOVER, A.R., CR-Tractors and the Fefferman Space, Indiana University Mathematics Journal, 57, 2519–2570.
[47] (2008) GOVER, A.R., and SˇILHAN, J., Conformal operators on forms and detour complexes on Einstein manifolds, Communications in Mathematical Physics, 284 291–316.
[46] (2008) BRANSON, T. and GOVER, A.R., Variational status of a class of fully nonlinear curvature prescription problems, Calculus of Variations and Partial Differential Equations, 32 (2008) 253-262. arXiv:math/0610773, http://arxiv.org/
[45] (2008) GOVER, A.R., and SˇILHAN, J., The conformal Killing equation on forms – prolongations and applications, Differential Geometry and Its Applications, 26, 244–266.
[44] (2008) GOVER, A.R., SOMBERG, P., and SOUCˇEK, V., Yang-Mills detour complexes and conformal geometry, Communications in Mathematical Physics, 278, 307–327.
[43] (2007) GOVER, A.R., and NAGY, P.-A., Four dimensional conformal C-spaces, Quarterly Journal of Mathematics, 58, (4) 443-462.
[42] (2007) BRANSON, T. and GOVER, A.R., The conformal deformation detour complex for the obstruction tensor, Proceedings of the American Mathematical Society, 135, 2961-2965.
[41] (2007) BRANSON, T. and GOVER, A.R., Pontrjagin forms and invariant objects related to the Q-curvature, Communications in Contemporary Mathematics, 9, 335–358.
[40] (2007) GOVER A.R. HALLOWELL, K., and WALDRON, A., Higher spin gravitational couplings: Ghosts in the Yang-Mills detour complex, Physical Review D 75, 9 pages. DOI: 10.1103/PhysRevD.75.024032.
[39] (2006) GOVER, A.R., Laplacian operators and Q-curvature on conformally Einstein manifolds, Mathematische Annalen, 336, 311–334.
[38] (2006) GOVER A.R. and PETERSON, L.J., The ambient obstruction tensor and the conformal deformation complex, Pacific Journal of Mathematics, 226, 309–351.
[37] (2006) EASTWOOD M.G., and GOVER A.R., Formal adjoints and a canonical form for linear operators, Conformal Geometry and Dynamics 10, 285-287.
[36] (2006) BRANSON, T., CˇAP, A., EASTWOOD M.G., and GOVER, A.R., Prolongations of Geometric Overdetermined Systems, International Journal of Mathematics, 17, 641–664.
[35] (2006) GOVER, A.R., and NUROWSKI, P., Obstructions to conformally Einstein metrics in n dimensions, Journal of Geometry and Physics, 56, 450-484.
[34] (2005) GOVER, A.R. and GRAHAM, C.R., CR invariant powers of the sub-Laplacian, Journal fu ̈r die reine und angewandte Mathematik (Crelle’s Journal), 583, 1–27.
[33] (2005) BRANSON, T., and GOVER A.R., Conformally invariant operators, differential forms, cohomology and a generalisation of Q-curvature, Communications in Partial Differential Equations, 30, 1611 - 1669.
[32] (2004) GOVER, A.R. and HIRACHI, K., Conformally invariant powers of the Laplacian – A complete non-existence theorem, Journal of the American Mathematical Society, 17 389-405.
[31] (2003) GOVER A.R. and L.J. PETERSON, L.J., Conformally invariant powers of the Laplacian, Q-curvature, and tractor calculus, Communications in Mathematical Physics, 235, 339-378.
[30] (2003) CˇAP, A., and GOVER, A.R. Standard tractors and the conformal ambient metric construction, Annals of Global Analysis and Geometry, 24, 231–259.
[29] (2002) CˇAP, A., and GOVER, A.R. Tractor calculi for parabolic geometries, Transactions of the American Mathematical Society, 354, 1511-1548.
[28] (2002) BRANSON T., and GOVER A.R., A conformally invariant differential operator on Weyl tensor densities, Journal of Geometry and Physics, 42, 283–295.
[27] (2001) GOVER, A.R. Invariant theory and calculus for conformal geometries, Advances in Mathematics, 163, 206–257.
[26] (2001) BRANSON, T.3 and GOVER, A.R. Conformally invariant non-local operators, Pacific Journal of Mathematics, 201, 19–60.
[25] (1999) GOVER, A.R., SLOVA ́K, J., Invariant local twistor calculus for quaternionic structures and related geometries, Journal of Geometry and Physics, 32, 14–56.
[24] (1999) BAILEY, T.N., EASTWOOD, M.G., GOVER, A.R. and MASON L.J., The Funk Transform as a Penrose Transform, Mathematical Proceedings of the Cambridge Philosophical Society, 125, 67–81.
[23] (1999) GOVER, A.R., ZHANG, R., Geometry of Quantum Homogeneous bundles and representation theory of quantum groups, Reviews in Mathematical Physics, 11, 533–552.
[22] (1996) GOVER, A.R., Invariants and calculus for projective geometries, Mathematische Annalen, 306, 513–538.
[21] (1996) BARCHINI, L., EASTWOOD, M.G., GOVER, A.R., An integral operator into dolbeault cohomology, Journal of Functional Analysis, 137, 364–380.
[20] (1995) GOVER, A.R., Invariant theory for a parabolic subgroup of SL(n + 1, R), Proceedings of the American Mathematical Society, 123, 1543–1553.
[19] (1995) BAILEY, T.N., GOVER, A.R., Exceptional invariants in the parabolic invariant theory of conformal geometry, Proceedings of the American Mathematical Society, 123, 2535–2543.
[18] (1994) GOVER, A.R. Invariants on projective space, Journal of the American Mathematical Society, 7, 145–158.
[17] (1994) BAILEY, T.N., EASTWOOD, M.G., GOVER, A.R., Thomas’s structure bundle for conformal, projective and related structures, Rocky Mountain Journal of Mathematics, 24, 1–27.
[16] (1989) GOVER, A.R. Conformally invariant operators of standard type, Quarterly Journal of Mathematics, 40, 197–207. Books:
[15] (2008) EASTWOOD, M.G., and GOVER, A.R., Editors, Proceedings of the 2007 Midwest Geometry Conference in honor of Thomas P. Branson, Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), 373 pages
Sections in Books
[14] (1995) GOVER, A.R. Exceptional invariants. In: Further Advances in Twistor Theory. (Ed. L.P. Hughston, P. Kobak, L.J. Mason and K. Pulverer), Research Notes in Mathematics, Pitman, pp127–130.
[13] (1995) GOVER, A.R. Structure of the jet bundle for manifolds with conformal or projective structure. In: Further Advances in Twistor Theory. (Ed. L.P. Hughston, P. Kobak, L.J. Mason and K. Pulverer), Research Notes in Mathematics, Pitman, pp123–127.
Papers in Refereed Conference Proceedings
[12] (2010) CˇAP, A., GOVER, A.R., and SOU CEK, V., Conformally invariant operators via curved Casimirs: examples, Pure and Applied Mathematics Quarterly, (Kohn special issue), 6, 693–714.
[11] (2008) EASTWOOD M.G., GOVER, A.R., The Research of Thomas P. Branson, SIGMA 4 (2008), 037, 7 pages.
[10] (2008) GOVER, A.R., Invariant Prolongation and Detour Complexes, 383–401, proceedings of the 2006 IMA Summer Program: Symmetries and Overdetermined Systems of Partial Differential Equations, Institute for Mathematics and its Applications Volume Series, Ed. M. Eastwood and W. Miller, Jr.
[9] (2008) BRANSON, T., and GOVER, A.R., Origins, applications and generalisations of the Q-curvature, Acta Applicanae Mathematicae, 102, 131-146.
[8] (2007) GOVER, A.R., and SˇILHAN, J.3, Commuting linear operators and algebraic decompositions, Archivum mathematicum, 43, no 5, 43, no 5, 373–387. arXiv:0706.2404, http://arxiv.org/
[7] (2007) GOVER, A.R., Conformal Dirichlet-Neumann Maps and Poincar ́e-Einstein Manifolds, SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) 3 100, 21 pages
[6] (2005) GOVER, A.R., Conformal de Rham Hodge theory and operators generalising the Q-curvature, Supplemento ai Rendiconti del Circolo Matematico di Palermo, Serie II, 75 109–137.
[5] (2005) GOVER, A.R., Almost conformally Einstein manifolds and obstructions, in (Proceedings of the 9th International Conference on Differential Geometry and its Applications, Prague 2004,) Differential geometry and its applications, 247–260, Matfyzpress, Prague, 2005. math.DG/0412393, http://www.arxiv.org
[4] (2003) BAILEY T.N., EASTWOOD M.G., GOVER, A.R. and MASON, L.J., Complex analysis and the Funk transform, Journal of the Korean Mathematical Society, 40, 577–593.
[3] (2002) BRANSON, T., and A.R. GOVER, A.R. Electromagnetism, metric deformations, ellipticity and gauge operators on conformal 4-manifolds, Differential Geometry and Its Applications, 17 229–249.
[2] (2000) CˇAP, A., and GOVER, A.R., Tractor bundles for irreducible parabolic geometries, Global analysis and harmonic analysis (Marseille-Luminy, 1999), 129–154, S ́eminaires & Congr`es, 4, Soci ́et ́e Math ́ematique de France, Paris.
[1] (1999) GOVER, A.R. Aspects of parabolic invariant theory, Supplemento ai Rendiconti del Circolo Matematico di Palermo, Serie II 59, 25–47.
Reviews
Since I have written over 70 reviews for Mathematical Reviews (this is the top mathematics review publication worldwide) and book reviews for Mathematical Reviews, The Australian Mathematical Society, The Australian Physicist and other journals.
Other works
Other Journals and Preprints' 3. (2008) Chang, A., Eastwood, M., Gover, R., et al., Thomas P. Branson (1953–2006). Acta Appl. Math. 102, (2008), no. 2-3, 127–129.
2. (1998) GOVER, A.R. The algebra of O(n)-invariants, 21 pages. Internet publication: http://www.maths.adelaide.edu.au/Pure/iga/preprints.html
1. (1990) GOVER, A.R. Families of invariants, Twistor Newsletter, (31) 23–24. OTHER WORKS: 2. Articles Submitted and available on public archive
4. (2009) GOVER, A.R., and SˇILHAN, J., Higher symmetries of the conformal powers of the Laplacian on conformally flat manifolds, arXiv:0911.5265, http://arxiv.org/
3. (2009) GOVER, A.R., HILL, C.D., and NUROWSKI, P., Sharp version of the Goldberg-Sachs theorem, arXiv:0911.3364, http://arxiv.org/
2. (2009) EASTWOOD, M.G., AND GOVER, A.R., Prolongation on Contact Manifolds, arXiv:0910.5519, http://arxiv.org/
1. (2006) CˇAP, A., and GOVER, A.R., A holonomy characterisation of Fefferman spaces, 15 pages. arXiv:math/0611939, http://arxiv.org/
