Euclidean Submanifolds via Tangential Components of Their Position Vector Fields

Euclidean Submanifolds via Tangential Components of Their Position Vector Fields

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 quanti...

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Bibliographic Details
Main Author: Bang-Yen Chen
Format: Article
Language:English
Published: MDPI AG 2017-10-01
Series:Mathematics
Subjects:
Euclidean submanifold
position vector field
concurrent vector field
concircular vector field
rectifying submanifold
T-submanifolds
constant ratio submanifolds
Ricci soliton
Online Access:https://www.mdpi.com/2227-7390/5/4/51

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https://www.mdpi.com/2227-7390/5/4/51

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