64 citations · 268 across the 24 of their papers we have counts for
24 papers
Moser-Trudinger and Beckner-Onofri's inequalities on the CR sphere
Thomas P. Branson, Luigi Fontana, Carlo Morpurgo
We derive sharp Moser-Trudinger inequalities on the CR sphere. The first type is in the Adams form, for powers of the sublaplacian and for general spectrally defined operators on t…
Q-Curvature, Spectral Invariants, and Representation Theory
Thomas P. Branson
We give an introductory account of functional determinants of elliptic operators on manifolds and Polyakov-type formulas for their infinitesimal and finite conformal variations. We…
Symmetries in Differential Geometry: A Computational Approach to Prolongations
Thomas Branson, Alfredo Villanueva
The aim of this work is to develop a systematic manner to close overdetermined systems arising from conformal Killing tensors (CKT). The research performs this action for 1-tensor…
Variational status of a class of fully nonlinear curvature prescription problems
Thomas P. Branson, A. Rod Gover
Prescribing, by conformal transformation, the kth-elementary symmetric polynomial of the Schouten tensor to be constant is a generalisation of the Yamabe problem. On compact Ri…
Spectrum Generating on Twistor Bundle
Thomas Branson, Doojin Hong
We give explicit formulas for the intertwinors of all orders on the twistor bundle over using spectrum generating technique introduced in \cite{BOO:96}.
Translation to Bundle Operators
Thomas P. Branson, Doojin Hong
We give explicit formulas for conformally invariant operators with leading term an -th power of Laplacian on the product of spheres with the natural pseudo-Riemannian product me…