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- W569700648 abstract "A smooth surface $S$ in $bf{R}^3$ is called parallel curved if there exists a plane in $bf{R}^3$ such that at each point of $S$, there exists a principal direction parallel to the plane. For example, a plane, a cylinder and a round sphere are parallel curved. More generally, a surface of revolution is also parallel curved. The purposes of this paper are to study the behavior of the principal distributions on a real-analytic, parallel curved surface and to classify the connected, complete, real-analytic, embedded, parallel curved surfaces." @default.
- W569700648 created "2016-06-24" @default.
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- W569700648 date "2002-12-01" @default.
- W569700648 modified "2023-09-23" @default.
- W569700648 title "A class of real-analytic surfaces in the 3-Euclidean space" @default.
- W569700648 cites W2013850970 @default.
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- W569700648 doi "https://doi.org/10.21099/tkbjm/1496164424" @default.
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