Geodesic
Anholonomic surfaces via directional motion of curves
Filomat, Tome 37 (2023) no. 6, p. 1777

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DOI

While there are many scientific manuscripts devoted to various details of the evolution of curves and their models, there are still many perspectives of the research subject that required comprehensive investigation. In particular, this manuscript is devoted to the search of a new class of time evolution equations of space curves written in the anholonomic coordinates. In this way, we have direct observation and access to form a new class of anholonomic surfaces induced by the given evolution systems. Thus, the proper representation of the evolution equations allows us to obtain useful characteristics of the corresponding evolution dynamics.
DOI : 10.2298/FIL2306777K
Classification : 53A10, 53C44, 14J25, 53Z05
Keywords: Osculating motion, Rectifying motion, Normal motion, Directional derivatives, Anholonomic surfaces 
Talat Korpinar; Rıdvan Cem Demirkol; Zeliha Korpinar. Anholonomic surfaces via directional motion of curves. Filomat, Tome 37 (2023) no. 6, p. 1777 . doi: 10.2298/FIL2306777K
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     title = {Anholonomic surfaces via directional motion of curves},
     journal = {Filomat},
     pages = {1777 },
     year = {2023},
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     doi = {10.2298/FIL2306777K},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2306777K/}
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