Abstract
In this paper, we present some computational methods in Lagrange geometry and give some examples. We obtain the explicit form of the differential equations of v-paths of Antonelli’s m th - root metric. Also, we shall study from numerical point of view the geodesics of Antonelli’s metric as well as a differential system, used in biology, which models population interactions. Certain topics presented here are not discussed in any of the other paper on differential geometry, more precisely: a) the detailed expressions of the differential equations which describe v-paths of Antonelli’s metric; b) the numerical study of the geodesics of Antonelli’s metric versus a given parameters; c) the numerical study of equilibria points.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
