论文标题
嵌入复杂歧管中的真实投射测量学
Real Projective Geodesics Embedded In Complex Manifolds
论文作者
论文摘要
这项研究的重点是探索数学基础的某些方面，用于使用复杂的流形作为时空模型。更具体地说，某些运动方程是在嵌入在复杂的歧管中的真实歧管上的投射测量。为此，首先使用局部复合物和偶联坐标计算了复杂歧管上的大地测量，然后研究了其对真实子模型的投影。因此，投影的测地剂被证明具有以外的基督教符号以外的其他术语，因此扩大了地球象征，以捕获超出引力超出引力的效果。
Focus of this study is to explore some aspects of mathematical foundations for using complex manifolds as a model for space-time. More specifically, certain equations of motions have been derived as a Projective geodesic on a real manifold embedded within a complex one. To that goal, first the geodesic on complex manifold has been computed using local complex and conjugate coordinates, and then its projection on the real sub-manifold has been studied. The projective geodesic, thus obtained, is shown to have additional terms beyond the usual Christoffel symbols, and hence expands the geodesic to capture effects beyond the mere gravitational ones.
