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- W1920854800 abstract "Abstract. The present paper is concerned with extensions of complex analysis on the complex plane C to conformally flat 4-manifolds. We shall give in an explicit form a fundamental system of spinors that will serve as the basis vectors for the Laurent expansion. Restricted to a sphere around the center of the expansion these spinors form a complete orthonormal system of eigenspinors of the tangential Dirac operator on the sphere, and give a basis of the representations of Spin (4). We shall also give the definition of meromorphic spinors and residues, and prove under some hypothesis that, on a compact conformally flat 4-manifold, the sum of the residues of a meromorphic spinor is zero." @default.
- W1920854800 created "2016-06-24" @default.
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- W1920854800 date "2002-01-01" @default.
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- W1920854800 title "Spinor analysis on C<sup>2</sup> and on conformally flat 4-manifolds" @default.
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- W1920854800 doi "https://doi.org/10.4099/math1924.28.1" @default.
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