Geodesic
Morin singularities of collections of one-forms and vector fields
Journal of Singularities, Tome 22 (2020), pp. 278-314

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Inspired by the properties of a collection of n gradient vector fields \nabla f_1, ..., \nabla f_n from a Morin map f=(f_1,...,f_n): M -> R^n$, with dim M ≥ n, we introduce the notion of Morin singularities in the context of collections of one-forms and collections of vector fields. We also study the singularities of generic one-forms which are related to specific collections (Morin collections) and we generalize a result of T. Fukuda on Euler characteristic for the case of collections of one-forms and vector fields.
DOI : 10.5427/jsing.2020.22r
Classification : 57R45, 57R70, 58K45 
@article{10_5427_jsing_2020_22r,
     author = {Camila M. Ruiz},
     title = {Morin singularities of collections of one-forms and vector fields},
     journal = {Journal of Singularities},
     pages = {278--314},
     publisher = {mathdoc},
     volume = {22},
     year = {2020},
     doi = {10.5427/jsing.2020.22r},
     url = {http://geodesic.mathdoc.fr/articles/10.5427/jsing.2020.22r/}
}
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Camila M. Ruiz. Morin singularities of collections of one-forms and vector fields. Journal of Singularities, Tome 22 (2020), pp. 278-314. doi: 10.5427/jsing.2020.22r

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