On geodesibility of algebrizable planar vector fields

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

doi:10.1007/s40590-017-0186-2

On geodesibility of algebrizable planar vector fields

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

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

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 language	English
Pages (from-to)	163-186
Number of pages	24
Journal	Boletin de la Sociedad Matematica Mexicana
Volume	25
Issue number	1
DOIs	https://doi.org/10.1007/s40590-017-0186-2
State	Accepted/In press - 1 Jan 2019

Bibliographical note

Publisher Copyright:
© 2017, Sociedad Matemática Mexicana.

Keywords

Geodesible vector fields
Lorch differentiability
Riemannian metrics
Vector fields

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10.1007/s40590-017-0186-2

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On geodesibility of algebrizable planar vector fields

Abstract

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Keywords

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