微分几何中，'''黎曼几何'''（英语：Riemannian geometry）研究具有[[黎曼度量]]的光滑[[流形]]，即流形切空间上二次形式的选择。它特别关注于角度、弧线长度及体积。把每个微小部分加起来而得出整体的数量。

== 参考文献 ==

* Marcel Berger, ''Riemannian Geometry During the Second Half of the Twentieth Century'', (2000) University Lecture Series vol. 17, American Mathematical Society, Rhode Island, ISBN 0-8218-2052-4. ''(Provides a historical review and survey, including hundreds of references.)''

* Jurgen Jost, ''Riemannian Geometry and Geometric Analysis'', (2002) Springer-Verlag, Berlin ISBN 3-540-4267-2 ''(Provides a formal introduction, written at the grad-student level.)''

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{{Relativity}}