Some vocabulary from differential geometry
This chapter is almost empty; it consists mainly of definitions that can be found at the beginning of any textbook on elementary differential geometry (the only non-trivial result, Whitney’s imbedding theorem, is admitted). We urge the reader who has not forgotten every single word of his or her undergraduate course in differential geometry to skip it, remembering only that, in these notes, ‘form’ stands for differential form of degree 1 and ‘bilinear form’ for tensor of rank (0,2) (i.e. twice covariant).
KeywordsVector Field Open Subset Bilinear Form Tangent Vector Variable Formula
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