Geodesic
Normal Variations of Invariant Hypersurfaces of Framed Manifolds
Canadian mathematical bulletin, Tome 15 (1972) no. 4, pp. 513-521

Voir la notice de l'article provenant de la source Cambridge University Press

A hypersurface of a globally framed f-manifold (briefly, a framed manifold), does not in general possess a framed structure as one may see by considering the 4-sphere S4 in R5 or S5. For, a hypersurface so endowed carries an almost complex structure, or else, it admits a nonsingular differentiable vector field. Since an almost complex manifold may be considered as being globally framed, with no complementary frames, this situation is in marked contrast with the well known fact that a hypersurface (real codimension 1) of an almost complex manifold admits a framed structure, more specifically, an almost contact structure. 
Goldberg, Samuel I. Normal Variations of Invariant Hypersurfaces of Framed Manifolds. Canadian mathematical bulletin, Tome 15 (1972) no. 4, pp. 513-521. doi: 10.4153/CMB-1972-090-x
@article{10_4153_CMB_1972_090_x,
     author = {Goldberg, Samuel I.},
     title = {Normal {Variations} of {Invariant} {Hypersurfaces} of {Framed} {Manifolds}},
     journal = {Canadian mathematical bulletin},
     pages = {513--521},
     year = {1972},
     volume = {15},
     number = {4},
     doi = {10.4153/CMB-1972-090-x},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1972-090-x/}
}
TY  - JOUR
AU  - Goldberg, Samuel I.
TI  - Normal Variations of Invariant Hypersurfaces of Framed Manifolds
JO  - Canadian mathematical bulletin
PY  - 1972
SP  - 513
EP  - 521
VL  - 15
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1972-090-x/
DO  - 10.4153/CMB-1972-090-x
ID  - 10_4153_CMB_1972_090_x
ER  - 
%0 Journal Article
%A Goldberg, Samuel I.
%T Normal Variations of Invariant Hypersurfaces of Framed Manifolds
%J Canadian mathematical bulletin
%D 1972
%P 513-521
%V 15
%N 4
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1972-090-x/
%R 10.4153/CMB-1972-090-x
%F 10_4153_CMB_1972_090_x

[1] 1. Goldberg, S. I., Framed manifolds, Differential geometry, in honor of K. Yano, Kinokuniya, Tokyo (1972), 121-132. Google Scholar

[2] 2. Goldberg, S. I. and Yano, K., Noninvariant hypersurfaces of almost contact manifolds, J. Math. Soc. Japan, 22 (1970), 25-34. Google Scholar

[3] 3. Goldberg, S. I. and Yano, K., On normal globally framedfmanifolds, Tôhoku Math. J. 22 (1970), 362-370 Google Scholar

[4] 4. Goldberg, S. I. and Yano, K., Globally framed f-manifolds, Illinois J. Math. 15 (1971), 456-474. Google Scholar

Cité par Sources :