Prof Rod Gover DPhil (Oxford) Professor (1999) Department of Mathematics Room Number: 402 Extension: 88792 Fax: +64-9-373-7457 E-mail: govermath.auckland.ac.nz Math Subject Classification: 53,32,35,46,47,58 Research Area: Differential geometry and its relationship to representation theory. Applications to analysis on manifolds, PDE theory and Mathematical Physics. Conformal, CR and related structures.

Personal Homepage

http://www.math.auckland.ac.nz/~gover

• Classical invariant theory (Reading)
• Riemannian geometry (Reading)
• Conformal or CR differential geometry (Reading and/or Project)

Recent Publications

GOVER, A.R. AND GRAHAM, C.R. 3 'CR invariant powers of the sub-Laplacian'. Journal fur die reine und angewandte Mathematik, to appear, , 2004.

GOVER, A.R. AND HIRACHI, K. 3 ' Conformally invariant powers of the Laplacian -- A complete non-existence theorem'. J. Amer. Math. Soc., 17, 389-405, 2004.

GOVER, A.R. ' Conformal de Rham Hodge theory and operators generalising the Q-curvature'. Supp. Rend. Circ. Matem. Palermo, Ser. II, Suppl., Srni, Czech Republic, . (30 pages)

CAP, A. 3, GOVER, A.R. 'Standard tractors and the conformal ambient metric construction'. Annals of Global Analysis and Geometry, 24, 231--259, 2003.

BAILEY, T.N. 3, EASTWOOD, M.G. 3, GOVER, A.R. AND MASON, L.J. 3 'Complex analysis and the Funk transform'. Korean J. Math., Korea, 577--593.

GOVER, A.R. AND PETERSON, L.J. 3 ' Conformally invariant powers of the Laplacian, Q-curvature, and tractor calculus'. Communications in Math. Phys., 235, 339-378, 2003.

BRANSON T. 3, AND GOVER A.R. 'A conformally invariant differential operator on Weyl tensor densities'. J. Geom. Phys., 42, 283--295, 2002.

CAP, A. 3, GOVER, A.R. 'Tractor calculi for parabolic geometries'. Trans. Amer. Math. Soc., 354, 1511-1548, 2002.