Properties of irrotational vector fields

DOI10.1016/0393-0440(85)90011-7zbMath0589.53044OpenAlexW1972633281MaRDI QIDQ1074136

Constantin Udrişte

Publication date: 1985

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0393-0440(85)90011-7

zbMATH Keywords

energy of a vector fieldpotential fieldharmonic fieldirrotational vector field

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Global surface theory (convex surfaces à la A. D. Aleksandrov) (53C45) Methods of local Riemannian geometry (53B21)

Cites Work

• On the singularities of harmonic $1$-forms on a Riemannian manifold
• Curvature and Betti Numbers. (AM-32)
• Vector fields and Ricci curvature

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