p-Kähler and balanced structures on nilmanifolds with nilpotent complex structures

Abstract Let ( X , J ) be a nilmanifold with an invariant nilpotent complex structure. We study the existence of p -Kähler structures (which include Kähler and balanced metrics) on . More precisely, we determine optimal such that there are no Finally, show that, contrarily to case, compact manifolds is relation between metrics degeneracy step Frölicher spectral sequence. can arbitrarily large.