A Note on Incompressible Vector Fields
In this paper, we use incompressible vector fields for characterizing Killing vector fields. We show that on a compact Riemannian manifold, a nontrivial incompressible vector field has a certain lower bound on the integral of the Ricci curvature in the direction of the incompressible vector field if...
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Format: | Article |
Language: | English |
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MDPI AG
2023-07-01
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Series: | Symmetry |
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Online Access: | https://www.mdpi.com/2073-8994/15/8/1479 |