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

@inproceedings{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},
  year={1974}
}
  • Phillip A. Griffiths
  • Published 1974
  • Mathematics
    • View PDF

    Create an AI-powered research feed to stay up to date with new papers like this posted to ArXiv

    115 Citations
    8 Highly Influenced Papers
    63 Cite Background
    32 Cite Methods
    2 Cite Results

    Citations

    Publications citing this paper.
    SHOWING 1-10 OF 115 CITATIONS

    CONSTRUCTION OF LAGRANGIAN SUBMANIFOLDS IN CPn

    VIEW 5 EXCERPTS
    CITES BACKGROUND & METHODS
    HIGHLY INFLUENCED

    The fundamental theorem of curves and classifications in the Heisenberg groups

    VIEW 3 EXCERPTS
    CITES METHODS
    HIGHLY INFLUENCED

    On Local Congruence of Immersions in Homogeneous or Nonhomogeneous Spaces

    VIEW 7 EXCERPTS
    CITES RESULTS, BACKGROUND & METHODS
    HIGHLY INFLUENCED

    Superposition formulas for exterior differential systems

    VIEW 3 EXCERPTS
    HIGHLY INFLUENCED

    Generation properties of Maurer-Cartan invariants

    VIEW 8 EXCERPTS
    CITES METHODS & BACKGROUND
    HIGHLY INFLUENCED

    Superposition Formulas for Darboux Integrable Exterior Differential Systems

    VIEW 3 EXCERPTS
    HIGHLY INFLUENCED

    Differential invariants for parametrized projective surfaces

    VIEW 4 EXCERPTS
    CITES BACKGROUND & METHODS
    HIGHLY INFLUENCED

    Moving Coframes: II. Regularization and Theoretical Foundations

    VIEW 4 EXCERPTS
    CITES METHODS, BACKGROUND & RESULTS
    HIGHLY INFLUENCED

    Extending Nirenberg-Spencer's question on holomorphic embeddings to families of holomorphic embeddings

    VIEW 2 EXCERPTS
    CITES BACKGROUND

    The Cauchy-Riemann strain functional for Legendrian curves in the 3-sphere

    VIEW 2 EXCERPTS
    CITES METHODS & BACKGROUND

    FILTER CITATIONS BY YEAR

    1979
    2020

    CITATION STATISTICS

    • 8 Highly Influenced Citations

    References

    Publications referenced by this paper.
    SHOWING 1-5 OF 5 REFERENCES

    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

    • Consequently
    • 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

    • G For
    • we consider the Plficker embedding