Admissible metrics in the sigma(k)-Yamabe equation

作者：Sheng Weimin^*

来源：Proceedings of the American Mathematical Society, 2008, 136(5): 1795-1802.

• sigma(k)-curvature
• admissible metrics
• k-Yamabe constant

In most previous works on the existence of solutions to the sigma(k)-Yamabe problem, one assumes that the initial metric g(0) is k-admissible. This is a pointwise condition. In this paper we prove that this condition can be replaced by a weaker integral condition.

• 出版日期2008
• 单位浙江大学