%0 Journal Article
%T Semi-invariant submanifolds of (g, F)-manifolds
%A Novac-Claudiu Chiriac
%J Surveys in Mathematics and its Applications
%D 2010
%I University Constantin Brancusi of Targu-Jiu
%X We introduce (g,F)-manifolds and initiate a study of their semi-invariant submanifolds. These submanifolds are generalizations of CR-submanifolds of Kaehler manifolds. We obtain necessary and sufficient conditions for the integrability of distributions on a semi-invariant submanifold and study the geometry of foliations defined by these distributions. In particular, for a large class of (g,F)-manifolds we prove the existence of a natural foliation on their semi-invariant submanifolds.
%K Semi-invariant submanifold
%K (g
%K F)-manifold
%K Distribution
%K Foliation
%U http://www.utgjiu.ro/math/sma/v05/p15.pdf