On a fully nonlinear Yamabe problem
نویسندگان
چکیده
منابع مشابه
A pr 2 00 6 ON A FULLY NONLINEAR YAMABE PROBLEM
We solve the σ2-Yamabe problem for a non locally conformally flat manifold of dimension n > 8. Résumé : On résout le problème de σ2-Yamabe pour des variétés riemanniennes compactes sans bord non localement conformément plates de dimension n > 8. Dedicated to Professor W. Y. Ding on the occasion of his 60th birthday
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In this paper we consider a fully nonlinear version of the Yamabe problem on compact Riemannianmanifold with boundary. Under various conditions we derive local estimates for solutions and establish some existence results. Mathematics Subject Classification 35J60 · 53C21
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We prove existence and compactness of solutions to a fully nonlinear Yamabe problem on locally conformally flat Riemannian manifolds with umbilic boundary.
متن کامل1 2 M ay 2 00 5 ON A FULLY NONLINEAR YAMABE PROBLEM
We solve the σ2-Yamabe problem for a non locally conformally flat manifold of dimension n > 8. Dedicated to Professor W. Y. Ding on the occasion of his 60’s birthday
متن کاملA Fully Nonlinear Version of the Yamabe Problem on Manifolds with Boundary
We propose to study a fully nonlinear version of the Yamabe problem on manifolds with boundary. The boundary condition for the conformal metric is the mean curvature. We establish some Liouville type theorems and Harnack type inequalities.
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ژورنال
عنوان ژورنال: Annales Scientifiques de l’École Normale Supérieure
سال: 2006
ISSN: 0012-9593
DOI: 10.1016/j.ansens.2005.12.007