Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource Articles Article Faculty Publications -Articles Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource A pair of kinematically related space curves Subject The topic of the resource Axode; constant pitch; Frenet-Serret motion; Mannheim curve; moving frame; pitch Description An account of the resource We investigate the relation between two types of space curves, the Mannheim curves and constant-pitch curves and primarily explicate a method of deriving Mannheim curves and constant-pitch curves from each other by means of a suitable deformation of a space curve. We define a "radius" function and a "pitch" function for any arbitrary regular space curve and use these to characterize the two classes of curves. A few non-trivial examples of both Mannheim and constant pitch curves are discussed. The geometric nature of Mannheim curves is established by using the notion of osculating helices. The Frenet-Serret motion of a rigid body in theoretical kinematics is studied for the special case of a Mannheim curve and the axodes in this case are deduced. In particular, we show that the fixed axode is developable if and only if the motion trajectory is a Mannheim curve. 2018 World Scientific Publishing Company. Creator An entity primarily responsible for making the resource Bhat V.S.; Haribaskar R. Source A related resource from which the described resource is derived International Journal of Geometric Methods in Modern Physics, Vol-15, No. 10 Publisher An entity responsible for making the resource available World Scientific Publishing Co. Pte Ltd Date A point or period of time associated with an event in the lifecycle of the resource 2018-01-01 Identifier An unambiguous reference to the resource within a given context <a href="https://doi.org/10.1142/S0219887818501803" target="_blank" rel="noreferrer noopener">https://doi.org/10.1142/S0219887818501803</a> <br /><br /><a href="https://www.scopus.com/inward/record.uri?eid=2-s2.0-85052965182&amp;doi=10.1142%2FS0219887818501803&amp;partnerID=40&amp;md5=0a7ea822012c1aa9460e3fc694f808ae" target="_blank" rel="noreferrer noopener">https://www.scopus.com/inward/record.uri?eid=2-s2.0-85052965182&amp;doi=10.1142%2fS0219887818501803&amp;partnerID=40&amp;md5=0a7ea822012c1aa9460e3fc694f808ae</a> Rights Information about rights held in and over the resource Restricted Access Relation A related resource ISSN: 2198878 Format The file format, physical medium, or dimensions of the resource Online Language A language of the resource English Type The nature or genre of the resource Article Coverage The spatial or temporal topic of the resource, the spatial applicability of the resource, or the jurisdiction under which the resource is relevant Bhat V.S., Department of Mathematics, Christ University, Hosur Road, Bangalore, Karnataka, 560078, India; Haribaskar R., Department of Mathematics, Christ University, Hosur Road, Bangalore, Karnataka, 560078, India