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Fully nonlinear elliptic equations for some prescribed curvature problems on Hermitian manifolds
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math.APmath.DG
keywords
hermitiancurvatureellipticequationsfullygeometricmanifoldsnonlinear
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We study fully nonlinear elliptic equations on Hermitian manifolds through blow-up argument and partial uniform ellipticity. We apply our results to draw geometric conclusions on finding conformal Hermitian metrics with prescribed Chern-Ricci curvature functions. By some obstruction from geometric function theory, our assumptions are almost sharp.
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