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Abstract: mic, this approach has led to solving numerous equivalence problems; e.g., [Cartan35], [Cartan53], [Gardner89], and [Olver95]. The method of moving frames was generalized by [Fels-Olver97] for arbitrarily (not necessarily transitive) finite-dimensional Lie group actions on a manifold. It relies on a less geometric definition of a moving frame as an equivariant map from the space of submanifolds to the group itself. As pointed out in [Griffiths74], one of the classical moving frames, the Frenet ... (Update)
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BibTeX entry: (Update)
@misc{ berchenko-research,
author = "Irina Berchenko",
title = "Research Statement",
url = "citeseer.ist.psu.edu/412800.html" }
Citations (may not include all citations):219 Applications of Lie Groups to Differential Equations (context) - Olver - 1986
97 Using Algebraic Geometry (context) - Cox, Little et al. - 1997
67 Algorithms in Invariant Theory (context) - Sturmfels - 1993
65 Springer-Verlag (context) - Cox, Little et al. - 1996
40 Linear algebraic groups (context) - Springer - 1998
35 Regularization and Theoretical Foundations (context) - Fels, Olver - 1997
31 Invariant geometric evolutions of surfaces and volumetric sm.. - Olver, Sapiro et al. - 1997
29 A Practical Algorithm (context) - Fels, Olver et al. - 1998
22 The Method of Equivalence and its Applications (context) - Gardner - 1989
21 Differential and numerically invariant signature curves appl.. - Calabi, Olver et al. - 1998
21 Classical Invariant Theory (context) - Olver - 1999
20 Foundations of the theory of algebraic invariants (context) - Gurevich - 1964
17 Introduction to the Variational Bicomplex (context) - Anderson - 1992
17 Cartan's moving frame method and its application to the geom.. - Faugeras - 1994
16 Joint invariant signatures - Olver - 1999
[Article contains additional citations not shown here]
Documents on the same site (http://www.math.umn.edu/~berchenk/research.htm):
Symmetries of Polynomials - Berchenko, Olver (Correct)
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