The dimension function of holomorphic spaces of a real submanifold of an almost complex manifold

Title:

The dimension function of holomorphic spaces of a real submanifold of an almost complex manifold

Creator:

Etayo, Fernando, Fioravanti, Mario, and Trías, Ujué R.

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:7606d86c-54b3-4b6a-8960-29977dbe96f5
uuid:7606d86c-54b3-4b6a-8960-29977dbe96f5

Subject:

holomorphic space, submanifold, and almost complex

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

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.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

139-141

Source:

Czechoslovak Mathematical Journal | 2001 Volume:51 | Number:1

Harvested from:

CDK

Metadata only:

false