| 11. | The study of Riemannian manifolds constitutes the subject called Riemannian geometry.
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| 12. | Riemannian geometry studies Riemannian manifolds, smooth manifolds with a " Riemannian metric ".
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| 13. | General Riemannian geometry falls outside the boundaries of the program.
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| 14. | It is unique by the fundamental theorem of Riemannian geometry.
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| 15. | Conformal geometry has a number of features which distinguish it from ( pseudo-) Riemannian geometry.
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| 16. | In particular, the fundamental theorem of Riemannian geometry is true of pseudo-Riemannian manifolds as well.
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| 17. | These are called ( geodesic ) normal coordinates, and are often used in Riemannian geometry.
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| 18. | Geodesics are commonly seen in the study of Riemannian geometry and more generally metric geometry.
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| 19. | This led him to study Riemannian geometry, and to formulate general relativity in this language.
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| 20. | The subject founded by this work is Riemannian geometry.
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