Plurisubharmonic functions in calibrated geometry and \(q\)-convexity

DOI10.1007/s00209-009-0498-7zbMath1188.53053arXiv0712.4036OpenAlexW2172109123MaRDI QIDQ2268161

Misha Verbitsky

Publication date: 10 March 2010

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0712.4036

zbMATH Keywords

plurisubharmonic function\(q\)-covexitycalibrated Riemannian manifold

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Calibrations and calibrated geometries (53C38)

Related Items (7)

Structure of singular sets of some classes of subharmonic functions ⋮ \(m\)-subharmonic and \(m\)-plurisubharmonic functions: on two problems of Sadullaev ⋮ Hyperholomorphic connections on coherent sheaves and stability ⋮ \(\mathcal{N}=1\) geometric supergravity and chiral triples on Riemann surfaces ⋮ Positive forms on hyperkähler manifolds ⋮ Mixed Hessian inequalities and uniqueness in the class \(\mathcal {E}(X,\omega ,m)\) ⋮ Continuous \(\omega^q\)-plurisubharmonic exhaustion functions on Kähler manifolds

Cites Work

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• Cohomology of q-convex spaces in top degrees
• Weak solutions to the complex Hessian equation.
• Computing Green currents via the heat kernel
• $C^\infty$ approximations of convex, subharmonic, and plurisubharmonic functions
• An introduction to potential theory in calibrated geometry
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• Convexité de l'espace des cycles
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