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arXiv · 1908.08232

Geometric equivalence among smooth map germs

Shyuichi Izumiya·Masatomo Takahashi·Hiroshi Teramoto
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Abstract

We consider equivalence relations among smooth map germs with respect to geometry of G-structures on the target space germ. These equivalence relations are natural generalization of right-left equivalence (i.e., A-equivalence) in the sense of Thom-Mather depending on geometric structures on the target space germ. Unfortunately, these equivalence relations are not necessarily geometric subgroups in the sense of Damon (1984). However, we have interesting applications of these equivalence relations.

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Shyuichi Izumiya, Masatomo Takahashi, Hiroshi Teramoto. 2019-08-22. Geometric equivalence among smooth map germs. https://arxiv.org/abs/1908.08232

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