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Abstract: this paper we study meromorphic sections of real vector bundles. The main aim is to derive local (i.e. current) equations relating the behaviour of the section in a neighbourhood of its zero and pole sets to the topology of the bundle. Our results are analogous to those obtained in the study of meromorphic sections of complex vector bundles (see [Z]). The results build on the work of Harvey, Lawson and Semmes (see [HL], [HS]) who studied smooth sections of vector bundles (i.e. no pole set). The ... (Update)
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BibTeX entry: (Update)
@misc{ rice-euler,
author = "John Zweck Rice",
title = "Euler And Pontrjagin Currents Of A Section Of A Compactified Real Bundle",
url = "citeseer.ist.psu.edu/412066.html" }
Citations (may not include all citations):13 A theory of characteristic currents associated with a singul.. (context) - Harvey, Lawson - 1993
8 Zero divisors of atomic functions (context) - Harvey, Semmes - 1992
7 to appear (context) - of, associated et al.
5 A simple intrinsic proof of the Gauss--Bonnet formula for cl.. (context) - Chern - 1944
3 Chern currents of singular connections associated with a sec.. - Zweck
2 the curvature integra in a Riemannian manifold (context) - Chern - 1945
1 Varietes differentiables: formes (context) - de Rham - 1960
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