Restriction theorems for a surface with negative curvature

Restriction theorems for a surface with negative curvature
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DOI:
10.1007/s00209-004-0691-7
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发表时间:
2005
影响因子:
0.8
通讯作者:
A. Vargas
A. Vargas
中科院分区:
数学2区
文献类型:
--
作者:
A. Vargas

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证明了负曲率曲面的双线性限制定理。这是对T.Wolff[19]和T.Tao[14]、[15]关于锥面和抛物面的结果的类似。作为结果,我们得到了一个几乎精确的线性限制定理。
We prove a bilinear restriction theorem for a surface of negative curvature. This is the analogue of the results of T. Wolff [19] and T. Tao [14], [15] for cones and paraboloids. As a consequence we obtain an almost sharp linear restriction theorem.