On the Hodge-type decomposition and cohomology groups of \(k\)-Cauchy-Fueter complexes over domains in the quaternionic space

DOI10.1016/j.geomphys.2016.04.016zbMath1346.83005arXiv1508.02875OpenAlexW2345914338MaRDI QIDQ303868

Irina Markina, Wei Wang, Der-Chen E. Chang

Publication date: 22 August 2016

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

Full work available at URL: https://arxiv.org/abs/1508.02875

zbMATH Keywords

cohomology groupsMinkowski spacespinquaternionic analysis\(k\)-Cauchy-Fueter complex\(k\)-Cauchy-Fueter operatorHodge-type decompositionmassless field operatorregular boundary value problem

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Special relativity (83A05) Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism (83C60) Quaternion and other division algebras: arithmetic, zeta functions (11R52)

Related Items (6)

The resolution of Euclidean massless field operators of higher spins on \(\mathbb{R}^6\) and the \(L^2\) method ⋮ On the weighted \(L^{2}\) estimate for the \(k\)-Cauchy-Fueter operator and the weighted \(k\)-Bergman kernel ⋮ The Neumann problem for the \(k\)-Cauchy-Fueter complex over \(k\)-pseudoconvex domains in \(\mathbb{R}^4\) and the \(L^2\) estimate ⋮ Hartogs phenomena for discrete \(k\)-Cauchy-Fueter operators ⋮ On quaternionic complexes over unimodular quaternionic manifolds ⋮ Sub-Riemannian Geometry and Hypoelliptic Operators

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