2013-06-272013-06-272010Biswas, I. et al. (2010), 'Einstein-Hermitian connection on twisted Higgs bundles', Comptes Rendus Mathematique, Vol. 348(17-18), p 981-983.http://hdl.handle.net/10395/1973Let X be a smooth projective variety over C. We prove that a twisted Higgs vector bundle (E , θ) on X admits an Einstein–Hermitian connection if and only if (E , θ) is polystable. A similar result for twisted vector bundles (no Higgs fields) was proved in [10]. Our approach is simpler.eng© Elsevier, The original publication of Biswas, I. et al. (2010), 'Einstein-Hermitian connection on twisted Higgs bundles', Comptes Rendus Mathematique, Vol. 348(17-18), p 981-983 is available at http://dx.doi.org/10.1016/j.crma.2010.07.027Einstein-HermitianTwisted vector bundlesArticlehttp://dx.doi.org/10.1016/j.crma.2010.07.027