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• W2765256178 abstract "The position vector field is the most elementary and natural geometric object on a Euclidean submanifold. The position vector field plays important roles in physics, in particular in mechanics. For instance, in any equation of motion, the position vector x (t) is usually the most sought-after quantity because the position vector field defines the motion of a particle (i.e., a point mass): its location relative to a given coordinate system at some time variable t. This article is a survey article. The purpose of this article is to survey recent results of Euclidean submanifolds associated with the tangential components of their position vector fields. In the last section, we present some interactions between torqued vector fields and Ricci solitons." @default.
• W2765256178 created "2017-11-10" @default.
• W2765256178 creator A5037263664 @default.
• W2765256178 date "2017-10-16" @default.
• W2765256178 modified "2023-09-28" @default.
• W2765256178 title "Euclidean Submanifolds via Tangential Components of Their Position Vector Fields" @default.
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• W2765256178 doi "https://doi.org/10.3390/math5040051" @default.
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