Differential Geometry of Surfaces
This chapter is intended to help the reader learn some of the concepts of differential geometry as they appear in terms of coordinates and also to move toward thinking of them in intrinsic terms (‘coordinate free’), which is the modern approach to differential geometry. Our primary interest is in the hyperbolic plane as a Riemannian manifold.
KeywordsVector Field Tangent Vector Line Element Parallel Transport Hyperbolic Plane
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