Topics in differential geometry associated with position vector fields on Euclidean submanifolds | Zendy

BangYen Chen | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Topics in differential geometry associated with position vector fields on Euclidean submanifolds

Author(s) -

BangYen Chen

Publication year - 2016

Publication title -

arab journal of mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.353

H-Index - 11

eISSN - 2588-9214

pISSN - 1319-5166

DOI - 10.1016/j.ajmsc.2016.08.001

Subject(s) - submanifold , vector field , position (finance) , mathematics , euclidean geometry , differential geometry , differential (mechanical device) , geometry , field (mathematics) , non euclidean geometry , pure mathematics , mathematical analysis , physics , finance , economics , thermodynamics

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

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research