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