A note on singular points of bundle homomorphisms from a tangent distribution into a vector bundle of the same rank

Kentaro Saji; Asahi Tsuchida

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arXiv · 1706.05777

A note on singular points of bundle homomorphisms from a tangent distribution into a vector bundle of the same rank

Kentaro Saji·Asahi Tsuchida

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Abstract

We consider bundle homomorphisms between tangent distributions and vector bundles of the same rank. We study the conditions for fundamental singularities when the bundle homomorphism is induced from a Morin map. When the tangent distribution is the contact structure, we characterize singularities of the bundle homomorphism by using the Hamilton vector fields.

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Kentaro Saji, Asahi Tsuchida. 2017-06-19. A note on singular points of bundle homomorphisms from a tangent distribution into a vector bundle of the same rank. https://arxiv.org/abs/1706.05777

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