An Introduction to Potential Theory in Calibrated Geometry

In this paper we introduce and study the notion of plurisubharmonic functions in calibrated geometry. These functions generalize the classical plurisubharmonic functions from complex geometry and enjoy their important properties. Moreover, they exist in abundance whereas the corresponding pluriharmo...

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Vydané v:	American journal of mathematics Ročník 131; číslo 4; s. 893 - 944
Hlavní autori:	Harvey, F. Reese, Lawson, H. Blaine
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Baltimore, MD Johns Hopkins University Press 01.08.2009
Predmet:	Calibration Exact sciences and technology Exhaustion General logic General mathematics General, history and biography Geometry Lagrangian function Laplacians Logic and foundations Mathematical analysis Mathematical functions Mathematical logic, foundations, set theory Mathematical manifolds Mathematics Potential theory Riemann manifold Sciences and techniques of general use Several complex variables and analytic spaces Subharmonics Theory Topological manifolds Complex function Morse theory Type theory Submanifold Convex space Potential theory Duality Mathematics Calibration Géométric measure Geometry Manifold Model matching Topological space Plurisubharmonic function Convexity
ISSN:	0002-9327, 1080-6377, 1080-6377
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