The main object of study in differential geometry is, at least for the moment, the differential manifolds, structures on the manifolds (Riemannian, complex, or other), and their admissible mappings. On a manifold the coordinates are valid only locally and do not have a geometric meaning themselves.
Shiing-Shen ChernRelated topics
complex differential geometry least main manifold meaning moment object study riemannianRelated quotes
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Albert Schweitzer
Something about the possession of a book - an object that can contain infinite fables, words of wisdom, chronicles of times gone by, humorous anecdotes and divine revelation - endows the reader with the power of creating a story, and the listener with a sense of being present at the moment of creation.
Alberto Manguel
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