| 21. | How do you calculate a straight line in Riemannian geometry using a given coordinate system?
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| 22. | The affine connection may be used for defining torsion, like is usual in Riemannian geometry.
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| 23. | Covering spaces play an important role in homotopy theory, harmonic analysis, Riemannian geometry and differential topology.
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| 24. | Geometric quantities such as the Berry phase may be understood in the language of sub-Riemannian geometry.
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| 25. | "' Riemannian geometry "'is the branch of differential geometry that studies Riemannian manifolds, integrating local contributions.
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| 26. | The Bishop Gromov inequality in Riemannian geometry is named after him ( with Mikhail Gromov ).
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| 27. | He worked in differential geometry and Riemannian geometry.
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| 28. | New philosophical and scientific ideas were emerging based on non-Euclidean geometry, Riemannian geometry and the absolute truth.
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| 29. | By examples, an example of geometry is Riemannian geometry, while an example of topology is homotopy theory.
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| 30. | I am learning curvature from the book Riemannian Geometry, a Beginners Guide by Dr . F . Morgan.
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