Geodesic
The Secondary Chern–Euler Class for a General Submanifold
Canadian mathematical bulletin, Tome 55 (2012) no. 2, pp. 368-377

Voir la notice de l'article provenant de la source Cambridge University Press

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.
DOI : 10.4153/CMB-2011-077-8
Mots-clés : 57R20, secondary Chern–Euler class, normal sphere bundle, Euler characteristic, index, nonisolated singularities, blow-up 
Nie, Zhaohu. The Secondary Chern–Euler Class for a General Submanifold. Canadian mathematical bulletin, Tome 55 (2012) no. 2, pp. 368-377. doi: 10.4153/CMB-2011-077-8
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