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

1974/12/01 by P. Griffiths, P. A. Griffiths · 146 citations
Engineering · Mathematics · Physics and Astronomy · #Adjoint representation of a Lie algebra #Advanced Differential Geometry Research #Advanced Numerical Analysis Techniques #Differential (mechanical device) #Differential geometry #Geometry #Lie group #Lie theory #Mathematical analysis #Mathematics #Nonlinear Waves and Solitons #Physics #Pure mathematics #Uniqueness

paper · doi:10.1215/s0012-7094-74-04180-5

published in Duke Mathematical Journal 41(4) (Duke University Press)

crossref issued 1974/12/01 · crossref published 1974/12/01 · crossref published-print 1974/12/01 · openalex publication_date 1974/12/01 · crossref created 2004/11/12 · openalex created_date 2016/06/24 · crossref deposited 2024/01/30 · crossref indexed 2026/06/11 · openalex updated_date 2026/06/12

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• The moving frame, differential invariants and rigidity theorems for curves in homogeneous spaces
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• Holomorphic differentials and Laguerre deformation of surfaces
• Geometry of curves in generalized flag varieties
• 3-folds CR-embedded in 5-dimensional real hyperquadrics
• Moving Coframes: II. Regularization and Theoretical Foundations
• Moving Coframes: I. A Practical Algorithm
• Cartan connection [wikipedia]
• Frenet–Serret formulas [wikipedia]
• Moving frame [wikipedia]