TY - JOUR
T1 - On geodesibility of algebrizable planar vector fields
AU - Frías-Armenta, M. E.
AU - López-González, E.
PY - 2019/3/11
Y1 - 2019/3/11
N2 - © 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.
AB - © 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.
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U2 - 10.1007/s40590-017-0186-2
DO - 10.1007/s40590-017-0186-2
M3 - Article
SN - 1405-213X
SP - 163
EP - 186
JO - Boletin de la Sociedad Matematica Mexicana
JF - Boletin de la Sociedad Matematica Mexicana
ER -