In this note, we generalize our results in [6] to integer p-currents of any degree. We prove that if the mass of a current, as a functional of the ambient metric, has a critical or stable point in some special directions, then the current is complex. This holds for any dimension and codimension.
A variational characterization of complex submanifolds / Arezzo, Claudio; J., Sun. - In: MATHEMATISCHE ANNALEN. - ISSN 0025-5831. - 366:1-2(2016), pp. 249-277. [10.1007/s00208-015-1322-9]
A variational characterization of complex submanifolds
AREZZO, Claudio;
2016-01-01
Abstract
In this note, we generalize our results in [6] to integer p-currents of any degree. We prove that if the mass of a current, as a functional of the ambient metric, has a critical or stable point in some special directions, then the current is complex. This holds for any dimension and codimension.File in questo prodotto:
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