On the coefficients of TYZ expansion of locally Hermitian symmetric spaces

LOI, ANDREA;
2015-01-01

Abstract

In this paper we address the problem of studying those Kähler manifolds whose first two coefficients of the associated TYZ expansion vanish and we prove that for a locally Hermitian symmetric space this happens only in the flat case. We also prove that there exist nonflat locally Hermitian symmetric spaces where all the odd coefficients vanish.
2015
53C55; 58C25; 58F06
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