Open AccessCR-SUBMANIFOLDS OF A QUASl-KAEHLER MANIFOLD
Author(s) -
S. H. Kon,
Sin-Leng Tan
Publication year - 1995
Publication title -
tamkang journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.324
H-Index - 18
eISSN - 0049-2930
pISSN - 2073-9826
DOI - 10.5556/j.tkjm.26.1995.4405
Subject(s) - submanifold , mathematics , holomorphic function , kähler manifold , pure mathematics , manifold (fluid mechanics) , complex manifold , mathematical analysis , mechanical engineering , engineering
Let $M$ be a CR-submanifold of a quasi-Kaehler manifold $N$. Sufficient conditions for the holomorphic distribution $D$ in $M$ to be integrable are derived. We also show that $D$ is minimal. It follows that an (almost) complex submanifold of a quasi-Kaehler manifold is minimal, this generalizes the well known result that a complex submanifold of a Kaehler manifold is minimal.