GEOMETRIC REALIZATIONS OF KAEHLER AND OF PARA-KAEHLER CURVATURE MODELS

DOI10.1142/S0219887810004403zbMath1193.53088arXiv0909.3473OpenAlexW3098836443WikidataQ58380700 ScholiaQ58380700MaRDI QIDQ3569299

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Publication date: 18 June 2010

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0909.3473

zbMATH Keywords

Kähler geometryKähler potentialconstant scalar curvatureCauchy-Kovalevskaya theoremalgebraic curvature tensorNijenhuis tensorTricerri-Vanhecke curvature decompositionHermitian geometrypara-Kähler geometrygeometric realizabilitycurvature modelNirenberg-Newlander theorem

Mathematics Subject Classification ID

General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Local Riemannian geometry (53B20)

Related Items (6)

Weyl-Euler-Lagrange equations of motion on flat manifold ⋮ THE STRUCTURE OF THE SPACE OF AFFINE KÄHLER CURVATURE TENSORS AS A COMPLEX MODULE ⋮ Transplanting geometrical structures ⋮ Complex Osserman Kähler manifolds in dimension four ⋮ Geometric realizations of affine Kähler curvature models ⋮ (para)-Kähler Weyl Structures

Cites Work

• Complex analytic coordinates in almost complex manifolds
• Almost Kähler Walker 4-manifolds
• Four-dimensional manifolds with degenerate self-dual Weyl curvature operator
• Geometric realizations of curvature models by manifolds with constant scalar curvature
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• Geometrical representations of equiaffine curvature operators
• AFFINE HYPERSPHERES ASSOCIATED TO SPECIAL PARA-KÄHLER MANIFOLDS
• GEOMETRIC QUANTIZATION OF HAMILTONIAN ACTIONS OF LIE ALGEBROIDS AND LIE GROUPOIDS
• PSEUDO-RIEMANNIAN JACOBI–VIDEV MANIFOLDS
• LORENTZIAN 3-MANIFOLDS WITH COMMUTING CURVATURE OPERATORS
• THE CHIRAL AND FLAVOR PROJECTION OF DIRAC–KÄHLER FERMIONS IN THE GEOMETRIC DISCRETIZATION
• COMPACTNESS OF D-ISOSPECTRAL METRICS
• DYNAMICALLY BROKEN ANTI-DE SITTER ACTION FOR GRAVITY
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• Geometric realizations of generalized algebraic curvature operators
• CURVATURE STRUCTURE OF SELF-DUAL 4-MANIFOLDS
• HOLOMORPHIC PRINCIPAL BUNDLES WITH AN ELLIPTIC CURVE AS THE STRUCTURE GROUP
• NONSINGULAR COMPLEX INSTANTONS ON EUCLIDEAN SPACETIME
• BASICS OF QUANTUM MECHANICS, GEOMETRIZATION AND SOME APPLICATIONS TO QUANTUM INFORMATION

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