Poisson equation on complete manifolds
نویسندگان
چکیده
منابع مشابه
Poisson Equation, Poincaré-lelong Equation and Curvature Decay on Complete Kähler Manifolds
In the first part of this work, the Poisson equation on complete noncompact manifolds with nonnegative Ricci curvature is studied. Sufficient and necessary conditions for the existence of solutions with certain growth rates are obtained. Sharp estimates on the solutions are also derived. In the second part, these results are applied to the study of curvature decay on complete Kähler manifolds. ...
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ژورنال
عنوان ژورنال: Advances in Mathematics
سال: 2019
ISSN: 0001-8708
DOI: 10.1016/j.aim.2019.03.019