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Abstract The position vector field is the most elementary and natural geometric object on a Euclidean submanifold. The purpose of this article is to survey six research topics in differential… Click to show full abstract
Abstract The position vector field is the most elementary and natural geometric object on a Euclidean submanifold. The purpose of this article is to survey six research topics in differential geometry in which the position vector field plays very important roles. In this article we also explain the relationship between position vector fields and mechanics, dynamics, and D’Arcy Thompson’s law of natural growth in biology.
Keywords:
topics differential;
geometry;
differential geometry;
position vector
Journal Title: Arab Journal of Mathematical Sciences
Year Published: 2017
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Journal Title: Arab Journal of Mathematical Sciences
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!