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Calibrated Geometry
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Abstract
The theory of calibrated geometry was invented by Harvey and Lawson in their seminal paper [151], which is still an excellent reference. It concerns calibrated submanifolds, a special kind of minimal submanifold of a Riemannian manifold M , which are defined using a closed form on M called a calibration. It is closely connected with the theory of Riemannian holonomy groups because Riemannian manifolds with reduced holonomy usually come equipped with one or more natural calibrations.
Oxford University PressOxford
Title: Calibrated Geometry
Description:
Abstract
The theory of calibrated geometry was invented by Harvey and Lawson in their seminal paper [151], which is still an excellent reference.
It concerns calibrated submanifolds, a special kind of minimal submanifold of a Riemannian manifold M , which are defined using a closed form on M called a calibration.
It is closely connected with the theory of Riemannian holonomy groups because Riemannian manifolds with reduced holonomy usually come equipped with one or more natural calibrations.
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