Automorphism groups of parabolic geometries
Čap, Andreas
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Displaying similar documents to “The gap phenomenon in the dimension study of finite type systems”
Automorphism groups of parabolic geometries
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Annales scientifiques de l'École Normale Supérieure
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Two supergeometries from fourfold gradings of superalgebras
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Reduction by group symmetry of second order variational problems on a semidirect product of Lie groups with positive definite riemannian metric
Claudio Altafini (2004)
ESAIM: Control, Optimisation and Calculus of Variations
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For a riemannian structure on a semidirect product of Lie groups, the variational problems can be reduced using the group symmetry. Choosing the Levi-Civita connection of a positive definite metric tensor, instead of any of the canonical connections for the Lie group, simplifies the reduction of the variations but complicates the expression for the Lie algebra valued covariant derivatives. The origin of the discrepancy is in the semidirect product structure, which implies that the riemannian...