Under totally geodesic variety of Geod-CP^n

Abstract

ℂℙⁿ is a variety whose all geodesics are closed and periodic of the same period π. We can apply all studies made by M. Sarih in his thesis, see ([1]), in particular dim(Geodℂℙⁿ) = 4n - 2. In this paper we will find some results concerning the open problem in [1], page 56.