Normally branched line fields on odd-dimensional manifolds

Riegel, Ulrich (2003) Normally branched line fields on odd-dimensional manifolds. TOPOLOGY AND ITS APPLICATIONS, 129 (1). pp. 67-72. ISSN 0166-8641, 1879-3207

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Abstract

A Poincare-Hopf theorem relating the branching and the point defects of a regularly defect tangential line field to the Euler characteristic is well-known for even-dimensional manifolds. We prove such a theorem in the normally branched case for odd-dimensional boundaries and apply it to boundary problems associated with isolated singularities of complex hypersurfaces. (C) 2002 Elsevier Science B.V. All rights reserved.

Item Type: Article
Uncontrolled Keywords: Poincare-Hopf theorem; Euler characteristic; defect set; point defect; regularly defect section; branched line bundle; boundary value problem; isolated singularity; complex hypersurface
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 24 Aug 2021 11:20
Last Modified: 24 Aug 2021 11:20
URI: https://pred.uni-regensburg.de/id/eprint/39262

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