Harmonic functions and quadratic harmonic morphisms on Walker spaces

DOI10.3906/mat-1504-87zbMath1424.53104OpenAlexW2535305304MaRDI QIDQ4633214

Simona-Luiza Druţă-Romaniuc, Cornelia-Livia Bejan

Publication date: 2 May 2019

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3906/mat-1504-87

zbMATH Keywords

harmonic function4-manifoldharmonic mapalmost complex structureWalker manifold

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Connections (general theory) (53C05)

Related Items

Some remarks concerning anti-Hermitian metrics ⋮ Structures which are harmonic with respect to Walker metrics

Cites Work

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• General natural Riemannian almost product and para-Hermitian structures on tangent bundles
• Connections which are harmonic with respect to general natural metrics
• Classes of general natural almost anti-Hermitian structures on the cotangent bundles
• Almost Kähler Walker 4-manifolds
• A spinor approach to Walker geometry
• Unit vector fields on real space forms which are harmonic maps
• Conformal Riemannian maps between Riemannian manifolds, their harmonicity and decomposition theorems
• Indefinite Kähler manifolds
• Quadratic harmonic morphisms and \(O\)-systems
• Harmonic endomorphism fields
• Deformations of metrics and associated harmonic maps
• Quadratic harmonic morphisms between semi-Riemannian manifolds
• Walker manifolds and Killing magnetic curves
• Four-dimensional Osserman metrics with nondiagonalizable Jacobi operators
• Hermitian-Walker 4-manifolds
• Walker 4-manifolds with proper almost complex structures
• A NOTE ON THE GOLDBERG CONJECTURE OF WALKER MANIFOLDS
• Homogeneous para-Kähler Einstein manifolds
• The Geometry of Walker Manifolds
• On the classification of quadratic harmonic morphisms between Euclidean spaces
• A CONNECTION WITH PARALLEL TOTALLY SKEW-SYMMETRIC TORSION ON A CLASS OF ALMOST HYPERCOMPLEX MANIFOLDS WITH HERMITIAN AND ANTI-HERMITIAN METRICS
• Harmonic Mappings of Riemannian Manifolds
• CANONICAL FORM FOR A RIEMANNIAN SPACE WITH A PARALLEL FIELD OF NULL PLANES