Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4668708 | Bulletin des Sciences Mathématiques | 2016 | 10 Pages |
Abstract
Let K\GK\G be an irreducible Hermitian symmetric space of noncompact type and Γ⊂G a closed torsionfree discrete subgroup. Let X be a compact Kähler manifold and ρ:π1(X,x0)⟶Γ a homomorphism such that the adjoint action of ρ(π1(X,x0))ρ(π1(X,x0)) on the Lie algebra Lie(G)Lie(G) is completely reducible. A theorem of Corlette associates to ρ a harmonic map H:X⟶K\G/Γ. We give a criterion for this harmonic map H to be holomorphic. We also give a criterion for it to be anti-holomorphic.
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Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Hassan Azad, Indranil Biswas, C.S. Rajan, Shehryar Sikander,