科研之友
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摘要
We consider tubular neighborhood of an arbitrary submanifold embedded in a (pseudo-) Riemannian manifold. This can be described by Fermi normal coordinates (FNC) satisfying certain conditions as described by Florides and Synge in [15]. By generalizing the work of Muller et al. in [54] on Riemann normal coordinate expansion, we derive all order FNC expansion of vielbein in this neighborhood with closed form expressions for the curvature expansion coefficients. Our result is shown to be consistent with certain integral theorem for the metric proved in [15].
- 出版日期2014-2
- 单位常州工学院
