Nonlinear gravitons, null geodesics, and holomorphic disks
Nonlinear gravitons, null geodesics, and holomorphic disks
复制标题
非线性引力子、零测地线和全纯盘
DOI：
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发表时间：
2005
期刊：
影响因子：
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通讯作者：
L. Mason
中科院分区：
文献类型：
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作者：
C. LeBrun;L. Mason
我们发展了具有自对偶Weyl曲率的签名（++−−）的伪黎曼共形结构的整体扭量对应。在S2 × S2上的标准不定积度量的共形类附近，存在一个由这种共形结构构成的无限维模空间，并且每个模空间都具有令人惊讶的全局性质，即它的零测地线都是周期的.每个这样的共形结构产生于一个家庭的全纯磁盘在CP 3的边界上的一些全真实的嵌入RP 3到CP 3。一个有趣的子类，
We develop a global twistor correspondence for pseudo-Riemannian conformal structures of signature (++−−) with self-dual Weyl curvature. Near the conformal class of the standard indefinite product metric on S 2 × S 2 , there is an infinitedimensional moduli space of such conformal structures, and each of these has the surprising global property that its null geodesics are all periodic. Each such conformal structure arises from a family of holomorphic disks in CP3 with boundary on some totally real embedding of RP 3 into CP3. An interesting sub-class of these