Morse理论中的弦Jacobi场
Stringy Jacobi fields in Morse theory
摘要:
我们考虑时空流形中闭弦张成的曲面的变化。利用Nambu-Goto弦作用量,我们导出了测地线曲面方程和测地线曲面偏差方程,并定义了测地线曲面的指数形式,讨论了点粒子在测地线曲面上的共轭弦.
英文摘要:
We consider the variation of the surface spanned by closed strings in a spacetime manifold. Using the Nambu-Goto string action, we induce the geodesic surface equation, the geodesic surface deviation equation which yields a Jacobi field, and we define the index form of a geodesic surface as in the case of point particles to discuss conjugate strings on the geodesic surface.
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