Series In Pure Mathematics

1 primary work

Metric Rigidity Theorems on Hermitian Locally Symmetric Manifolds

by Ngaiming Mok

Published 1 January 1989

This monograph studies the problem of characterizing canonical metrics on Hermitian locally symmetric manifolds X of non-compact/compact types in terms of curvature conditions. The proofs of these metric rigidity theorems are applied to the study of holomorphic mappings between manifolds X of the same type. Moreover, a dual version of the generalized Frankel Conjecture on characterizing compact Kahler manifolds are also formulated.