sigma07-090. 387KB Jun 04 2011 12:10:07 AM
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In particular we conclude that the Lorentz covariant nonlinear Dirac equations we have explicitly studied in this paper are not gauge equivalent to the linear Dirac equation.
Key words: algebraic curvature tensor; anti-self-dual; conformal Jacobi operator; confor- mal Osserman manifold; Jacobi operator; Jacobi–Tsankov; Jacobi–Videv; mixed-Tsankov;
We review previous work of Alain Connes, and its extension by the author, on some conformal invariants obtained from the noncommutative residue on even dimensional compact
Following the approach of Fegan [ 14 ] in the conformal case and ˇ Cap, Slov´ ak, and Souˇcek [ 7 ] more generally, Kroeske classifies the first order invariant pairings provided
Here we shall use this Cayley transformation to obtain some sharp L 2 inequalities on the sphere for a family of Dirac type operators.. The full collection is available
The derivation deduces Branson’s formula from knowledge of the correspon- ding conformally invariant operator on Euclidean space (the k -th power of the Euclidean Laplacian)
We introduce a bubble tree structure to study the degeneration of a class of Yamabe metrics on Bach flat manifolds satisfying some global conformal bounds on compact manifolds
Another enduring theme of Tom’s work was exploiting the implications of invariance for spectral data. For example, on the round sphere the conformal covariance relation satisfied
