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- W1773667472 abstract "We study conformal $Spin$-subgeometry of submanifolds in a semi-Riemannian $Spin$-manifold, focusing on conformal $Spin$-manifolds $(M,[h])$ and their Poincare-Einstein metrics $(X,g_+)$. Our approach is based on the spectral theory of Dirac operator in the ambient $Spin$-manifold, and associated spinor valued meromorphic family of distributions with residues given by the residue family operators $slashed{D}_N^{res}(h;lambda)$ on spinors. We develop basic aspects and properties of $slashed{D}_N^{res}(h;lambda)$ including conformal covariance, factorization properties by conformally covariant operators for both flat and curved semi-Riemannian $Spin$-manifolds, and Poisson transformation." @default.
- W1773667472 created "2016-06-24" @default.
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- W1773667472 date "2014-02-03" @default.
- W1773667472 modified "2023-09-27" @default.
- W1773667472 title "Residue Family Operators on Spinors and Spectral Theory of Dirac operator on Poincaré-Einstein Spaces" @default.
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