PLURIPOLAR SETS, REAL SUBMANIFOLDS AND PSEUDOHOLOMORPHIC DISCS
2019 ◽
Vol 109
(2)
◽
pp. 270-288
Keyword(s):
We prove that a compact subset of full measure on a generic submanifold of an almost complex manifold is not a pluripolar set. Several related results on boundary behavior of plurisubharmonic functions are established. Our approach is based on gluing a family of complex discs to a generic manifold along a boundary arc and could admit further applications.
2013 ◽
Vol 24
(12)
◽
pp. 1350097
◽
Keyword(s):
2017 ◽
Vol 19
(04)
◽
pp. 1750043
◽
Keyword(s):
2001 ◽
Vol 44
(1)
◽
pp. 70-79
◽
2019 ◽
Vol 62
◽
pp. 101-108
◽
2007 ◽
Vol 57
(3)
◽
pp. 999-1014
◽