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