1 2 M ay 2 00 5 ON A FULLY NONLINEAR YAMABE PROBLEM

نویسنده

  • GUOFANG WANG
چکیده

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

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

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

متن کامل

ar X iv : 0 80 4 . 14 18 v 2 [ m at h . D G ] 2 7 M ay 2 00 8 SMOOTH YAMABE INVARIANT AND SURGERY

We prove a surgery formula for the smooth Yamabe invariant σ(M) of a compact manifold M . Assume that N is obtained from M by surgery of codimension at least 3. We prove the existence of a positive constant Λn, depending only on the dimension n of M , such that σ(N) ≥ min{σ(M),Λn}.

متن کامل

ar X iv : m at h / 03 05 06 7 v 1 [ m at h . O C ] 4 M ay 2 00 3 Global Asymptotic Controllability Implies Input to State Stabilization ∗

We study nonlinear systems with observation errors. The main problem addressed in this paper is the design of feedbacks for globally asymptotically controllable (GAC) control affine systems that render the closed loop systems input to state stable with respect to actuator errors. Extensions for fully nonlinear GAC systems with actuator errors are also discussed.

متن کامل

ar X iv : m at h / 05 02 09 4 v 2 [ m at h . D G ] 1 5 M ar 2 00 5 THE SECOND YAMABE INVARIANT

Let (M, g) be a compact Riemannian manifold of dimension n ≥ 3. We define the second Yamabe invariant as the infimum of the second eigenvalue of the Yamabe operator over the metrics conformal to g and of volume 1. We study when it is attained. As an application, we find nodal solutions of the Yamabe equation.

متن کامل

2 A fully nonlinear version of the Yamabe problem and a Harnack type inequality

We present some results in [9], a continuation of our earlier works [7] and [8]. One result is the existence and compactness of solutions to a fully nonlinear version of the Yamabe problem on locally conformally flat Riemannian manifolds, and the other is a Harnack type inequality for general conformally invariant fully nonlinear second order elliptic equations. Let (M, g) be an n−dimensional, ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2008