Geodesic
Rotary transformation of surfaces
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 5 (1998), pp. 203-211.

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A new type of infinitesimal transformations of surfaces in the Euclidean space $E^3$ is defined by virtue of rotary transformation the image of each geodesic curve is an isoperimetric extremal of the rotation (in the general approximation). The paper closer deals with the rotary-conformal transformations. 
@article{JMAG_1998_5_a4,
     author = {S. G. Leiko},
     title = {Rotary transformation of surfaces},
     journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
     pages = {203--211},
     publisher = {mathdoc},
     volume = {5},
     year = {1998},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/JMAG_1998_5_a4/}
}
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S. G. Leiko. Rotary transformation of surfaces. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 5 (1998), pp. 203-211. http://geodesic.mathdoc.fr/item/JMAG_1998_5_a4/