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Search: All articles in the CMB digital archive with keyword singularities

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1. CMB 2011 (vol 55 pp. 368)

Nie, Zhaohu
The Secondary Chern-Euler Class for a General Submanifold
We define and study the secondary Chern-Euler class for a general submanifold of a Riemannian manifold. Using this class, we define and study the index for a vector field with non-isolated singularities on a submanifold. As an application, we give conceptual proofs of a result of Chern.

Keywords:secondary Chern-Euler class, normal sphere bundle, Euler characteristic, index, non-isolated singularities, blow-up
Category:57R20

2. CMB 2011 (vol 54 pp. 311)

Marzougui, Habib
Some Remarks Concerning the Topological Characterization of Limit Sets for Surface Flows
We give some extension to theorems of Jiménez López and Soler López concerning the topological characterization for limit sets of continuous flows on closed orientable surfaces.

Keywords:flows on surfaces, orbits, class of an orbit, singularities, minimal set, limit set, regular cylinder
Categories:37B20, 37E35

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