On foliations with the structure group of automorphisms of a geometric structure

Masaru TAKEUCHI

doi:10.2969/jmsj/03210119

Masaru TAKEUCHI

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1980 Volume 32 Issue 1 Pages 119-152

DOI https://doi.org/10.2969/jmsj/03210119

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Published: 1980 Received: May 27, 1978 Available on J-STAGE: October 20, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: October 20, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) D. V. Anosov, Roughness of geodesic flows on compact Riemannian manifolds of negative curvature, Soviet Math. Dokl., 4, 4 (1962), 1068-1069.
2) A. Borel, Compact Clifford-Klein forms of symmetric spaces, Topology, 2 (1963), 111-122.
3) E. Cartan, Lecons sur la géométrie des espaces de Riemann, Gauthier-Villars, Paris, 1946.
4) C. Godbillon, Cohomologie d'algèbres de Lie de champs de vecteurs formels, Sém. Bourbaki, 1972/73, No. 421.
5) A. Haefliger, Sur les classes caractéristiques des feuilletages, Sém. Bourbaki, 1971/72, No. 412.
6) F. W. Kamber and P. Tondeur, Foliated bundles and characteristic classes, Lecture Notes in Math., 493, Springer-Verlag, Berlin, 1975.
7) F. W. Kamber and P. Tondeur, On the linear independence of certain cohomology classes of B_??_, to appear.
8) F. I. Karpelevic, The geometry of geodesics and the eigen-functions of the Beltrami-Laplace operator on symmetric spaces, Transl. Moscow Math. Soc., 14 (1965), 51-199.
9) S. Kobayashi, Frame bundles of higher order contact, Proc. Symp. Pure Math., 3, Amer. Math. Soc., 1961, 186-193.
10) S. Morita, On characteristic classes of conformal and projective foliations, to appear.
11) S. Nishikawa and M. Takeuchi, _??_-foliations and semisimple flat homogeneous spaces, to appear.
12) T. Ochiai, Geometry associated with semisimple flat homogeneous spaces, Trans. Amer. Math. Soc., 152 (1970), 159-193.
13) M. Takeuchi, Cell decompositions and Morse equalities on certain symmetric spaces, J. Fac. Sci. Univ. Tokyo, I, 12 (1965), 81-192.
14) N. Tanaka, On the equivalence problems associated with a certain class of homogeneous spaces, J. Math. Soc. Japan, 17 (1965), 103-139.
15) K. Yamato, Examples of foliations with non-trivial exotic characteristic classes, Osaka J. Math., 12 (1975), 407-417.
16) K. Yamato, On exotic characteristic classes of conformal and projective foliations, to appear.

Right : [1] D. V. Anosov, Roughness of geodesic flows on compact Riemannian manifolds of negative curvature, Soviet Math. Dokl., 4, 4 (1962), 1068-1069.
[2] A. Borel, Compact Clifford-Klein forms of symmetric spaces, Topology, 2 (1963), 111-122.
[3] E. Cartan, Leçons sur la géométrie des espaces de Riemann, Gauthier-Villars, Paris, 1946.
[4] C. Godbillon, Cohomologie d'algèbres de Lie de champs de vecteurs formels, Sém. Bourbaki, 1972/73, No. 421.
[5] A. Haefliger, Sur les classes caractéristiques des feuilletages, Sém. Bourbaki, 1971/72, No. 412.
[6] F. W. Kamber and P. Tondeur, Foliated bundles and characteristic classes, Lecture Notes in Math., 493, Springer-Verlag, Berlin, 1975.
[7] F. W. Kamber and P. Tondeur, On the linear independence of certain cohomology classes of BΓ, to appear.
[8] F. I. Karpelevic, The geometry of geodesics and the eigen-functions of the Beltrami-Laplace operator on symmetric spaces, Transl. Moscow Math. Soc., 14 (1965), 51-199.
[9] S. Kobayashi, Frame bundles of higher order contact, Proc. Symp. Pure Math., 3, Amer. Math. Soc., 1961, 186-193.
[10] S. Morita, On characteristic classes of conformal and projective foliations, to appear.
[11] S. Nishikawa and M. Takeuchi, Γ-foliations and semisimple flat homogeneous spaces, to appear.
[12] T. Ochiai, Geometry associated with semisimple flat homogeneous spaces, Trans. Amer. Math. Soc., 152 (1970), 159-193.
[13] M. Takeuchi, Cell decompositions and Morse equalities on certain symmetric spaces, J. Fac. Sci. Univ. Tokyo, I, 12 (1965), 81-192.
[14] N. Tanaka, On the equivalence problems associated with a certain class of homogeneous spaces, J. Math. Soc. Japan, 17 (1965), 103-139.
[15] K. Yamato, Examples of foliations with non-trivial exotic characteristic classes, Osaka J. Math., 12 (1975), 407-417.
[16] K. Yamato, On exotic characteristic classes of conformal and projective foliations, to appear.

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