Geodesic
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.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

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.
Classification : 53C15, 53C40
Keywords: holomorphic space; submanifold; almost complex 
@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/