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 manifold meaning moment studyRelated quotes
Never for a moment do we lay aside our mistrust of the ideals established by society, and of the convictions which are kept by it in circulation. We always know that society is full of folly and will deceive us in the matter of humanity. ... humanity meaning consideration for the existence and the happiness of individual human beings.
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
It was not for the sake of oil that the risky decision to cease this corrupt coexistence was made. But at least now the Iraqi people have a chance of controlling their own main resource, and it will be our task to ensure that the funding and revenue are transparent instead of opaque.
Christopher Hitchens