LOWER BOUND g−ADMISSIBLE ON G n,2n+1 C INVARIANT BY A GROUP OF ISOMETRIES

In this paper, we prove the existence of an extremal function that lowers all admissible functions with zero sup on non-toric Fano manifold, namely the complex Grassmannian Gn,2n+1C. The functions considered are invariant under a suitably chosen automorphism group. This lowering is done in order to calculate, for this class of functions, the Tian invariant on these manifolds.