Umbilical characteristic number of Lagrangian mappings of 3-dimensional pseudooptical manifolds

Kazarian, Maxim È.

Banach Center Publications, Tome 37 (1996), p. 161-170 / Harvested from The Polish Digital Mathematics Library

Résumé

As shown by V. Vassilyev [V], $D_{4}^{\pm}$ singularities of arbitrary Lagrangian mappings of three-folds form no integral characteristic class. We show, nevertheless, that in the pseudooptical case the number of $D_{4}^{\pm}$ singularities counted with proper signs forms an invariant. We give a topological interpretation of this invariant, and its applications. The results of the paper may be considered as a 3-dimensional generalization of the results due to V. I. Arnold [A].

Publié le : 1996-01-01

Zbl 0881.57030

EUDML-ID : urn:eudml:doc:262730

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     author = {Kazarian, Maxim \`E.},
     title = {Umbilical characteristic number of Lagrangian mappings of 3-dimensional pseudooptical manifolds},
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     volume = {37},
     year = {1996},
     pages = {161-170},
     zbl = {0881.57030},
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Kazarian, Maxim È. Umbilical characteristic number of Lagrangian mappings of 3-dimensional pseudooptical manifolds. Banach Center Publications, Tome 37 (1996) pp. 161-170. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-bcpv33z1p161bwm/

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