# 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={Phillip A. Griffiths}, journal={Duke Mathematical Journal}, year={1974}, volume={41}, pages={775-814} }

## 237 Citations

The fundamental theorem of curves and classifications in the Heisenberg groups

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Abstract New algorithms for determining discrete and continuous symmetries of polynomials - also known as binary forms in classical invariant theory - are presented, and implemented in MAPLE. The…

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The $\kappa$-nullity of Riemannian manifolds and their splitting tensors

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. We consider Riemannian n -manifolds M with nontrivial κ -nullity “distribution” of the curvature tensor R , namely, the variable rank distribu- tion of tangent subspaces to M where R coincides with…

Pinching for holomorphic curves in a complex Grassmann manifold G(2,n;C)

- MathematicsDifferential Geometry and its Applications
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Applications of the Frenet Frame to Electric Circuits

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The proposed approach is based on the Frenet frame utilized in differential geometry and provides a general framework for the definition of the time derivative of electrical quantities in stationary as well as transient conditions.

Conformal geometry of isotropic curves in the complex quadric

- MathematicsInternational Journal of Mathematics
- 2022

Let Q3 be the complex 3-quadric endowed with its standard complex conformal structure. We study the complex conformal geometry of isotropic curves in Q3. By an isotropic curve we mean a nonconstant…

## 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' }

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

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