TRANSGRESSION FORMS IN DIMENSION 4

DOI10.1142/S0219887806001442zbMath1112.53025arXivmath/0412389OpenAlexW1966963524MaRDI QIDQ3426895

Isabel M. C. Salavessa, Ana Pereira do Vale

Publication date: 13 March 2007

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

Full work available at URL: https://arxiv.org/abs/math/0412389

zbMATH Keywords

characteristic classesalmost complex structurestransgression formscurvature tensorssingular connectionsalmost quaternionic Kählerdimension 4 and 8

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Characteristic classes and numbers in differential topology (57R20) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global Riemannian geometry, including pinching (53C20) Calibrations and calibrated geometries (53C38) Singularities of differentiable mappings in differential topology (57R45)

Cites Work

• Minimal submanifolds of Kähler-Einstein manifolds with equal Kähler angles.
• The fundamental equations of minimal surfaces in \({\mathbb{C}}P^ 2\)
• Minimal two-spheres and the topology of manifolds with positive curvature on totally isotropic two-planes
• Zero divisors of atomic functions
• On the heat equation and the index theorem
• A theory of characteristic currents associated with a singular connection
• Geometric Residue Theorems

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