On simultaneous integrability of two commuting almost tangent structures

Václav Kubát

Commentationes Mathematicae Universitatis Carolinae (1981)

  • Volume: 022, Issue: 1, page 149-160
  • ISSN: 0010-2628

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Kubát, Václav. "On simultaneous integrability of two commuting almost tangent structures." Commentationes Mathematicae Universitatis Carolinae 022.1 (1981): 149-160. <http://eudml.org/doc/17094>.

@article{Kubát1981,
author = {Kubát, Václav},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {G-structure; distribution; Nijenhuis tensor},
language = {eng},
number = {1},
pages = {149-160},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On simultaneous integrability of two commuting almost tangent structures},
url = {http://eudml.org/doc/17094},
volume = {022},
year = {1981},
}

TY - JOUR
AU - Kubát, Václav
TI - On simultaneous integrability of two commuting almost tangent structures
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1981
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 022
IS - 1
SP - 149
EP - 160
LA - eng
KW - G-structure; distribution; Nijenhuis tensor
UR - http://eudml.org/doc/17094
ER -

References

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  1. J. VANŽURA, Simultaneous integrability of an almost tangent structure and a distribution, preprint. MR0895009
  2. J. LEHMANN, LEJEUNE, Intégrabilité des G -structures définies par une 1 -forme 0 -déformable a valeurs dans le fibre tangent, Ann. Inst. Fourier, Grenoble 16, 2 (1966), 329-387. (1966) Zbl0145.42103MR0212720
  3. Ch.-Sh. HOUH, The integrability of a structure on a differentiable manifold, Tôhoku Math. J. 1965, 17, 72-75. (1965) Zbl0125.39605MR0187172
  4. Y. HATAKEYAMA, On the integrability of a structure defined by two semisimple 0 -deformable vector 1 -forms which commute with each other, Tôhoku Math. J. 1965, 17, No. 2, 171-177. (1965) MR0184164
  5. Ch. HSU C.-S. HOUH, Note on the integrability conditions of ( ϕ , ψ ) structures, Tôhoku Math. J. 1966, 18, No. 4, 368-377. (1966) MR0216418
  6. C.-S. HOUH, Hung-Ching Chow Sixty-Fifth Anniversary Volume, Math. Research Center Nat. Taiwan Univ., dec. 1967. (1967) MR0224408
  7. Sh. HASHIMOTO, On the differentiable manifold admitting tensor fields ( F , G ) of type ( 1 , 1 ) satisfying F 3 + F = 0 , G 3 + G = 0 , F G = - G F , F 2 = G 2 , Tensor 1964, 15, No. 3, 269-274. (1964) MR0169184
  8. V. KUBÁT, Simultaneous integrability of two J -related almost tangent structures, Comment. Math. Univ. Carolinae 20 (1979), 461-473. (1979) MR0550448
  9. J. BUREŠ J. VANŽURA, A Nijennuis-type tensor on the quotient of a distribution, Comment. Math. Univ. Carolinae 21 (1980), 201-208. (1980) MR0580677
  10. J. BUREŠ J. VANŽURA, Simultaneous integrability of analmost complex and an almost tangent structure, Czech. Math. Journal (in print). 

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