The dimension function of holomorphic spaces of a real submanifold of an almost complex manifold
Czechoslovak Mathematical Journal, Tome 51 (2001) no. 1, pp. 139-141
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Let $ M $ be a real submanifold of an almost complex manifold $ (\overline{M},\overline{J}) $ and let $ H_{x}=T_{x}M\cap \overline{J}(T_{x}M) $ be the maximal holomorphic subspace, for each $ x\in M $. We prove that $ c\:M\rightarrow \mathbb{N} $, $ c(x)=\dim _{\mathbb{R}} H_{x} $ is upper-semicontinuous.
@article{CMJ_2001__51_1_a12,
author = {Etayo, Fernando and Fioravanti, Mario and Tr{\'\i}as, Uju\'e R.},
title = {The dimension function of holomorphic spaces of a real submanifold of an almost complex manifold},
journal = {Czechoslovak Mathematical Journal},
pages = {139--141},
publisher = {mathdoc},
volume = {51},
number = {1},
year = {2001},
mrnumber = {1814639},
zbl = {1079.53504},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMJ_2001__51_1_a12/}
}
TY - JOUR AU - Etayo, Fernando AU - Fioravanti, Mario AU - Trías, Ujué R. TI - The dimension function of holomorphic spaces of a real submanifold of an almost complex manifold JO - Czechoslovak Mathematical Journal PY - 2001 SP - 139 EP - 141 VL - 51 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/CMJ_2001__51_1_a12/ LA - en ID - CMJ_2001__51_1_a12 ER -
%0 Journal Article %A Etayo, Fernando %A Fioravanti, Mario %A Trías, Ujué R. %T The dimension function of holomorphic spaces of a real submanifold of an almost complex manifold %J Czechoslovak Mathematical Journal %D 2001 %P 139-141 %V 51 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/CMJ_2001__51_1_a12/ %G en %F CMJ_2001__51_1_a12
Etayo, Fernando; Fioravanti, Mario; Trías, Ujué R. The dimension function of holomorphic spaces of a real submanifold of an almost complex manifold. Czechoslovak Mathematical Journal, Tome 51 (2001) no. 1, pp. 139-141. http://geodesic.mathdoc.fr/item/CMJ_2001__51_1_a12/