Applications of Disaffinity Vectors to Certain Riemannian Manifolds

A disaffinity vector on a Riemannian manifold is a vector field whose affinity tensor vanishes. In this paper, we prove that every disaffinity vector on a compact Riemannian manifold is an incompressible vector field. Then, we discover a sufficient condition for an incompressible vector field to be...

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Bibliographic Details
Main Authors: Hanan Alohali, Sharief Deshmukh, Bang-Yen Chen
Format: Article
Language:English
Published: MDPI AG 2024-12-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/12/24/3951
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