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}
}
  • P. Griffiths
  • Published 1974
  • Mathematics
  • Duke Mathematical Journal
CONSTRUCTION OF LAGRANGIAN SUBMANIFOLDS IN CPn
On Local Congruence of Immersions in Homogeneous or Nonhomogeneous Spaces
Symmetries of polynomials
Differential invariants for parametrized projective surfaces
Area-minimizing Cones over Grassmannian Manifolds
Moving frames and compatibility conditions for three-dimensional director fields
Rigidity of conformal minimal two-spheres in a compact symmetric space
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References

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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