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2007

Lie Algebroids and Classification Problems in Geometry

Fernandes, Rui Loja, Struchiner, Ivan

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We show how one can associate to a given class of finite type G-structures a classifying Lie algebroid.

The corresponding Lie groupoid gives models for the different geometries that one can find in the class, and encodes also the different types of symmetry groups.

Lie Algebroids and Classification Problems in Geometry · Around

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E. Cartan, Sur la structure des groupes inifinis de transformations, Ann. Éc. Norm. 3
1904
Earlier work this paper cites.
S. Sternberg, Lectures on Differential Geometry , Prentice-Hall, New Jersey, USA, 1964
1964
Earlier work this paper cites.
I.M. Singer and S. Sternberg, The infinite groups of Lie and Cartan, Part I (the transitive groups), J. Analyse Math. 15
1965
Earlier work this paper cites.

Similar

S. Kobayashi, Transformation Groups in Differential Geometry , Reprint of the 1972 edition. Classics in Mathematics. Springer-Verlag, Berlin, 1995
1995
Cited alongside, same era.
P. Olver, Equivalence, Invariants and Symmetry , Cambridge University Press, New York, USA, 1995
1995
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Then

R. Bryant, Bochner-Kähler metrics, J. Amer. Math. Soc. 14
2001
Later among the works it cites.
M. Crainic and R.L. Fernandes, Integrability of Lie brackets, Ann. of Math. (2) 157
2003
Later among the works it cites.

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