On algebraic and uniqueness properties of harmonic quaternion fields on 3d manifolds

DOI10.4067/S0719-06462019000100001zbMath1441.30069arXiv1901.09201OpenAlexW2968006370MaRDI QIDQ5113634

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Publication date: 15 June 2020

Published in: Cubo (Temuco) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.09201

zbMATH Keywords

harmonic fieldsquaternion fields3-dimensional Riemann manifold

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Harmonic maps, etc. (58E20)

Related Items (6)

On uniqueness of continuation for polynomials of solutions to second-order elliptic PDE ⋮ On the uniqueness of continuation for polynomials of harmonic quaternion fields ⋮ New notions and constructions of the boundary control method ⋮ Electric impedance tomography problem for surfaces with internal holes ^* ⋮ On the EIT problem for nonorientable surfaces ⋮ On Determination of Nonorientable Surface via its Diriclet-to-Neumann Operator

Cites Work

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• Boundary layer methods for Lipschitz domains in Riemannian manifolds
• On algebras of three-dimensional quaternion harmonic fields
• Hodge decomposition. A method for solving boundary value problems
• Dirichlet to Neumann operator on differential forms
• Algebras in reconstruction of manifolds
• A Note on the Stone-Weierstrass Theorem for Quaternions
• Geometrization of Rings as a Method for Solving Inverse Problems
• The Calderon Problem for Two-Dimensional Manifolds by the BC-Method
• Boundary control and tomography of Riemannian manifolds (the BC-method)
• Noncommutative uniform algebras
• Function representation of a noncommutative uniform algebra

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