A Heintze-Karcher inequality is proved for hyperbolic domains with mean curvature greater than -1, plus shifted-curvature versions in sub-static warped products.
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New Heintze-Karcher type inequalities in sub-static warped product manifolds
A Heintze-Karcher inequality is proved for hyperbolic domains with mean curvature greater than -1, plus shifted-curvature versions in sub-static warped products.