Rocky Mountain Journal of Mathematics

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

Kentaro Saji and 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.

Article information

Source
Rocky Mountain J. Math., Volume 49, Number 1 (2019), 335-354.

Dates
First available in Project Euclid: 10 March 2019

Permanent link to this document
https://projecteuclid.org/euclid.rmjm/1552186964

Digital Object Identifier
doi:10.1216/RMJ-2019-49-1-335

Mathematical Reviews number (MathSciNet)
MR3921879

Zentralblatt MATH identifier
07036630

Subjects
Primary: 57R45: Singularities of differentiable mappings
Secondary: 57R25: Vector fields, frame fields 58K05: Critical points of functions and mappings

Keywords
Bundle homomorphisms tangent distribution sin­gu­lar­ities

Citation

Saji, Kentaro; Tsuchida, Asahi. A note on singular points of bundle homomorphisms from a tangent distribution into a vector bundle of the same rank. Rocky Mountain J. Math. 49 (2019), no. 1, 335--354. doi:10.1216/RMJ-2019-49-1-335. https://projecteuclid.org/euclid.rmjm/1552186964


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