On geodesibility of algebrizable planar vector fields

M. E. Frías-Armenta, E. López-González

Research output: Contribution to journalArticlepeer-review

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Abstract

© 2017, Sociedad Matemática Mexicana. Geodesibility of vector fields was studied by Gluck and Sullivan in the 1970s. For the case of complex analytical vector fields, Jenkins shed light on the subject from the end of the 1950s. After the 1970s, multiple authors have studied the subject, such as K. Strebel, and Muciño-Raymundo and Valero-Valdéz. In this paper, we consider planar vector fields which are A-algebrizable (differentiable in the sense of Lorch for some associative and commutative algebra A with unit e). We give rectifications of these vector fields and metrics under which they are geodesible.
Original languageAmerican English
Pages (from-to)163-186
Number of pages24
JournalBoletin de la Sociedad Matematica Mexicana
DOIs
StatePublished - 11 Mar 2019

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