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differential geometry

branch of mathematics dealing with functions and geometric structures on differentiable manifolds

en-GB/ˌdɪfəˈɹɛnʃl d͡ʒɪˈɒməˌtɹɪ/
en-US/ˌdɪfɚˈɛnt͡ʃəl d͡ʒiˈɑmətɹi/

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area of mathematicsmathematical theorygeometry