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On conformally compact manifolds of arbitrary signature, we use conformal geometry to identify a natural (and very general) class of canonical boundary problems.
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R. Manvelyan, K. Mkrtchyan and Ruben Mkrtchyan Conformal invariant powers of the Laplacian, Fefferman-Graham ambient metric and Ricci gauging
2007
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T. Branson, A.R. Gover, Origins, applications and generalisations of the Q Q -curvature
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A. Čap, and A.R. Gover, Tractor calculi for parabolic geometries
2002
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C. Fefferman, and C.R. Graham, Q Q -curvature and Poincaré metrics
2002
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I. R. Klebanov and A. M. Polyakov, AdS dual of the critical O(N) vector model,
2002
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A. Čap, and A.R. Gover, Standard tractors and the conformal ambient metric construction
2003
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C. Fefferman, and K. Hirachi, Ambient metric construction of Q-curvature in conformal and CR geometries
2003
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A.R. Gover, and L. Peterson, Conformally invariant powers of the Laplacian, Q Q -curvature, and tractor calculus
2003
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2009
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D. Cherney, E. Latini and A. Waldron, (p,q)-form Kahler Electromagnetism,
2009
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A.R. Gover, A. Shaukat and A. Waldron, Weyl Invariance and the Origins of Mass
2009
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A.R. Gover, A. Shaukat and A. Waldron, Tractors, mass, and Weyl invariance
2009
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C. Guillarmou, Frédŕic Naud, Wave decay on convex co-compact hyperbolic manifolds
2009
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A. Juhl, Families of conformally covariant differential operators, Q-curvature and holography, Progress in Mathematics, 275
2009
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D. Cherney, E. Latini and A. Waldron, Generalized Einstein Operator Generating Functions,
2010
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D. Cherney, E. Latini and A. Waldron, BRST Detour Quantization,
2010
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S. Giombi and X. Yin, Higher Spin Gauge Theory and Holography: The Three-Point Functions
2010
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A.R. Gover, Almost Einstein and Poincaré-Einstein manifolds in Riemannian signature
2010
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A. Shaukat, Unit invariance as a unifying principle of physics
2010
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A. Shaukat and A. Waldron, Weyl’s gauge invariance: conformal geometry, spinors, supersymmetry, and interactions
2010
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A. Vasy, The wave equation on asymptotically de Sitter-like spaces
2010
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