Geometric plurisubharmonicity and convexity: An introduction

This is an essay on potential theory for geometric plurisubharmonic functions. It begins with a given closed subset G of the Grassmann bundle G(p,TX) of tangent p-planes to a riemannian manifold X. This determines a nonlinear partial differential equation which is convex but never uniformly elliptic...

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Bibliographic Details
Published in:Advances in mathematics (New York. 1965) 2012-07, Vol.230 (4-6), p.2428-2456
Main Authors: Harvey, F. Reese, Lawson, H. Blaine
Format: Article
Language:English
Subjects:
Convexity
Nonlinear partial differential equations
Plurisubharmonic functions
Restriction
The Dirichlet problem
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Summary:This is an essay on potential theory for geometric plurisubharmonic functions. It begins with a given closed subset G of the Grassmann bundle G(p,TX) of tangent p-planes to a riemannian manifold X. This determines a nonlinear partial differential equation which is convex but never uniformly elliptic (p
ISSN:0001-8708
1090-2082
DOI:10.1016/j.aim.2012.03.033