Geodesic
Embeddings of nonorientable surfaces with totally reducible focal set
Glasgow mathematical journal, Tome 36 (1994) no. 1, pp. 11-16

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

In an earlier paper [5] we introduced the idea of an immersion f: Mm-Rn with totally reducible focal set. Such an immersion has the property that, for all p ∈ M, the focal set with base p is a union of hyperplanes in the normal plane to f(M) at f(p). Trivially, this always holds if n = m + 1 so we only consider n > m + 1. 
Carter, Sheila; Ezentas, Ridvan. Embeddings of nonorientable surfaces with totally reducible focal set. Glasgow mathematical journal, Tome 36 (1994) no. 1, pp. 11-16. doi: 10.1017/S0017089500030494
@article{10_1017_S0017089500030494,
     author = {Carter, Sheila and Ezentas, Ridvan},
     title = {Embeddings of nonorientable surfaces with totally reducible focal set},
     journal = {Glasgow mathematical journal},
     pages = {11--16},
     year = {1994},
     volume = {36},
     number = {1},
     doi = {10.1017/S0017089500030494},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089500030494/}
}
TY  - JOUR
AU  - Carter, Sheila
AU  - Ezentas, Ridvan
TI  - Embeddings of nonorientable surfaces with totally reducible focal set
JO  - Glasgow mathematical journal
PY  - 1994
SP  - 11
EP  - 16
VL  - 36
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.1017/S0017089500030494/
DO  - 10.1017/S0017089500030494
ID  - 10_1017_S0017089500030494
ER  - 
%0 Journal Article
%A Carter, Sheila
%A Ezentas, Ridvan
%T Embeddings of nonorientable surfaces with totally reducible focal set
%J Glasgow mathematical journal
%D 1994
%P 11-16
%V 36
%N 1
%U http://geodesic.mathdoc.fr/articles/10.1017/S0017089500030494/
%R 10.1017/S0017089500030494
%F 10_1017_S0017089500030494

Besse, A. L., Einstein manifolds, Springer-Verlag, Berlin, 1987. Google Scholar | DOI

Boy, W., Über die Curvatura integra und die Topologie geschlossener Flächen, Math. Ann. 57 (1903), 151–184. Google Scholar | DOI

Carter, J. S., On generalizing Boy's surface: constructing a generator of the third stable stem, Trans. Amer. Math. Soc. 298 (1986), 103–122. Google Scholar

Carter, S. and West, A., Partial tubes about immersed manifolds, (University of Leeds, Pure Mathematics 1992 Preprint Series, No. 26). Google Scholar

Carter, S. and Ezentas, R., Immersions with totally reducible focal set, J. Geom. 45 (1992), 1–7. Google Scholar | DOI

Eccles, P. J., Multiple points of codimension one immersions, Topology Symposium, Siegen 1979, Lecture Notes in Mathematics 788, pp. 23–28 (Springer-Verlag, Berlin, 1980). Google Scholar | DOI

Flegmann, A. M., The parallel rank of a submanifold of Euclidean space, Math. Proc. Camb. Phil. Soc. 106 (1989), 89–93. Google Scholar | DOI

Little, J. A., On singularities of submanifolds of higher dimensional Euclidean spaces. Ann. Mat. Pura Appl. (4) 83 (1969), 261–336. Google Scholar | DOI

Massey, W. S., Proof of a conjecture of Whitney, Pacific J. Math. 31 (1969), 143–156. Google Scholar | DOI

Palais, R. S. and Terng, C. L., Critical Point Theory and Submanifold Geometry. Lecture Notes in Mathematics 1353 (Springer-Verlag, Berlin, 1988). Google Scholar | DOI

Cité par Sources :