Czechoslovak Mathematical Journal

, Volume 51, Issue 1, pp 139–141

The Dimension Function of Holomorphic Spaces of a Real Submanifold of an Almost Complex Manifold

  • Fernando Etayo
  • Mario Fioravanti
  • Ujue R. Trias
Article

DOI: 10.1023/A:1013714023474

Cite this article as:
Etayo, F., Fioravanti, M. & Trias, U.R. Czechoslovak Mathematical Journal (2001) 51: 139. doi:10.1023/A:1013714023474

Abstract

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∈ M. We prove that c:M→ℕ,c(x)=dimHx is upper-semicontinuous.

holomorphic spacesubmanifoldalmost complex

Copyright information

© Mathematical Institute, Academy of Sciences of Czech Republic 2001

Authors and Affiliations

  • Fernando Etayo
    • 1
  • Mario Fioravanti
    • 1
  • Ujue R. Trias
  1. 1.Departamento de Matematicas, Estadistica y Computacion, Facultad de CienciasUniversidad de CantabriaSantanderSpain