Metric Rigidity Theorems On Hermitian Locally Symmetric Manifolds

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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 Kähler manifolds are also formulated.Format: HardcoverNo of Pages: 292Imprint: World ScientificPublication date: 19890701Series: Series In Pure Mathematics Show more