On the Pontrjagin Algebra of a Certain Class of Flags of Foliations
Canadian mathematical bulletin, Tome 28 (1985) no. 1, pp. 77-83
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Let (M,g) be a Riemannian manifold and let 1, 2, 3 be mutually orthogonal distributions on M of dimensions p1, p2,P3 such that p1 + p2 + p3 = dim M. We assume that , and 1, ⊕ 2 are integrable and that all the geodesies of M with initial tangent vector in 2 remain tangent to 2. Then, we prove that Pontk( 2, ⊕ 3) = 0 for k > p2 + 2p3, where Pontk( 2, ⊕ 3) is the subspace of the Pontrjagin algebra of 2 ⊕ 3 generated by forms of degree k.
Mots-clés :
53C15, flag manifolds, bundle-like metrics, Pontrjagin algebra of a vector bundle
Carreras, F. J.; Naveira, A. M. On the Pontrjagin Algebra of a Certain Class of Flags of Foliations. Canadian mathematical bulletin, Tome 28 (1985) no. 1, pp. 77-83. doi: 10.4153/CMB-1985-007-8
@article{10_4153_CMB_1985_007_8,
author = {Carreras, F. J. and Naveira, A. M.},
title = {On the {Pontrjagin} {Algebra} of a {Certain} {Class} of {Flags} of {Foliations}},
journal = {Canadian mathematical bulletin},
pages = {77--83},
year = {1985},
volume = {28},
number = {1},
doi = {10.4153/CMB-1985-007-8},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1985-007-8/}
}
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%0 Journal Article %A Carreras, F. J. %A Naveira, A. M. %T On the Pontrjagin Algebra of a Certain Class of Flags of Foliations %J Canadian mathematical bulletin %D 1985 %P 77-83 %V 28 %N 1 %U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1985-007-8/ %R 10.4153/CMB-1985-007-8 %F 10_4153_CMB_1985_007_8
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