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- W4300905965 abstract "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 pluriharmonics are generally quite scarce. A number of the results established in complex analysis via plurisubharmonic functions are extended to calibrated manifolds. In particular, the notion of pseudo-convexity for a calibrated manifold (X,phi) is introduced and studied. Analogues of totally real submanifolds are also introduced and used to construct enormous families of strictly phi-convex spaces with every topological type allowed by Morse Theory. Specific calibrations are used as examples throughout." @default.
- W4300905965 created "2022-10-04" @default.
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- W4300905965 date "2007-10-21" @default.
- W4300905965 modified "2023-10-14" @default.
- W4300905965 title "An Introduction to Potential Theory in Calibrated Geometry" @default.
- W4300905965 doi "https://doi.org/10.48550/arxiv.0710.3920" @default.
- W4300905965 hasPublicationYear "2007" @default.
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