# On Cartan’s method of Lie groups and moving frames as applied to uniqueness and existence questions in differential geometry

@article{Griffiths1974OnCM, title={On Cartan’s method of Lie groups and moving frames as applied to uniqueness and existence questions in differential geometry}, author={P. Griffiths}, journal={Duke Mathematical Journal}, year={1974}, volume={41}, pages={775-814} }

#### 225 Citations

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14), 0 0 and thus , A (zi) A (zi) 0 ,z A (z) A (z): 0

- By

Among the hyperplane sections of G(2, 4) are special ones, called Schubert hyperplanes, which are defined as follows: Thinking of G(2, 4) PG(1, 3) as the 5nes in P, for a fixed line L we set (6

- 25) H {L' PG(1, 3) L.L' }

Z() 5e in a 5he, and it follows that S is a special ruled surface. This completes the proof of

- Z() 5e in a 5he, and it follows that S is a special ruled surface. This completes the proof of

is a regular point there is a unique hyperplane Hr. having contact of order exactly n 1 with Z() t o

- is a regular point there is a unique hyperplane Hr. having contact of order exactly n 1 with Z() t o

we consider the Plficker embedding

- we consider the Plficker embedding