We survey on the geometry of the tangent bundle of a Riemannian manifold, endowed with the classical metric established by S. Sasaki 60 years ago. Following the results of Sasaki, we try to write and deduce them by different means. Questions of vector fields, mainly those arising from the base, are related as invariants of the classical metric, contact and Hermitian structures. Attention is given to the natural notion of extension or complete lift of a vector field, from the base to the tangent manifold. Few results are original, but finally new equations of the mirror map are considered.

中文翻译：

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关于Sasaki指标的注释

我们调查了黎曼流形切线束的几何形状，并赋予了S. Sasaki 60年前建立的经典度量。根据Sasaki的结果，我们尝试通过不同的方式来编写和推论它们。向量场的问题（主要是那些来自基数的问题）与经典度量，接触和Hermitian结构的不变量相关。从基部到切线歧管，自然要注意矢量场的扩展或完全提升的概念。很少有原始结果，但最后考虑了新的镜像图方程。