| Title:
|
Homotopien von Untermannigfaltigkeiten mit nicht ausgearteter zweiter Fundamentalform (German) |
| Title:
|
Homotopies of submanifolds with non-degenerate second fundamental form (English) |
| Author:
|
Wintgen, Peter |
| Language:
|
German |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
25 |
| Issue:
|
3 |
| Year:
|
1975 |
| Pages:
|
424-437 |
| Summary lang:
|
German |
| . |
| Category:
|
math |
| . |
| MSC:
|
57D45 |
| MSC:
|
58C25 |
| idZBL:
|
Zbl 0323.53023 |
| idMR:
|
MR0388442 |
| DOI:
|
10.21136/CMJ.1975.101336 |
| . |
| Date available:
|
2008-06-09T14:13:51Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/101336 |
| . |
| Reference:
|
[1] S. S. Chern R. K. Lashof: On the total curvature of immersed manifolds I.Amer. J. Math. 79 (1957), 306-318. MR 0084811, 10.2307/2372684 |
| Reference:
|
[2] E. A. Feldmann: The geometry of immersions I.Trans. Amer. Math. Soc. 120 (1965) 185-224. MR 0185602, 10.1090/S0002-9947-1965-0185602-6 |
| Reference:
|
[3] E. A. Feldmann: Nondegenerate curves in a Riemannian manifold.Journal of Differential Geometry (erscheint demnächts). |
| Reference:
|
[4] E. A. Feldmann: Immersions with nowhere vanishing mean curvature vector.Topology 12 (1973), 201-228. MR 0326754, 10.1016/0040-9383(73)90007-4 |
| Reference:
|
[5] M. L. Gromov: Стабильное отображения слоений в многообразаия.Izv. Akad. Nauk SSSR 33 (1969), 707-734. Zbl 0205.53502, MR 0263103 |
| Reference:
|
[6] A. Haefliger: Lectures on the theorem of Gromov.Procedings of Liverpool Singularities Symposium II, Lecture Notes in Math. 209 (1971), 128-141. Zbl 0222.57020, MR 0334241 |
| Reference:
|
[7] R. Hermann: Differential geometry and the calculus of variations.Academic Press, 1968. Zbl 0219.49023, MR 0233313 |
| Reference:
|
[8] D. Husemoller: Fibre bundles.Mc Graw Hill 1966. Zbl 0144.44804, MR 0229247 |
| Reference:
|
[9] S. Kobajashi K. Nomizii: Foundations of differential geometry II.Interscience Publishers 1969. |
| Reference:
|
[10] J. A. Little: Non degenerate homotopies of curves on the unit 2-sphere.Journal of Differential Geometry 4 (1970), 339-348. MR 0275333, 10.4310/jdg/1214429507 |
| Reference:
|
[11] V. Poénaru: Homotopy theory and differentiable singularities manifolds.Amsterdam 1970, Lecture Notes in Mathematics 197 (1971), 106-132. MR 0285026, 10.1007/BFb0068614 |
| Reference:
|
[12] W. F. Pohl: Connexions in Differential geometry of higher order.Trans. Amer. Math. Soc. 125 (1966), 310-325. Zbl 0168.19302, MR 0203628, 10.1090/S0002-9947-1966-0203628-1 |
| Reference:
|
[13] W. F. Pohl: Singularities in the differential geometry of submanifolds.Procedings of Liverpool Singularities Symp. II, Lecture Notes in Math. 209 (1971), 104-113. Zbl 0217.18701, MR 0346819 |
| Reference:
|
[14] R. Thorn H. Levine: Singularities of differentiable mappings.Bonner Math. Schriften 6 (1959). |
| . |
