| Title:
|
Mean curvature functions for codimension-one foliations with all leaves compact (English) |
| Author:
|
Walczak, Paweł Grzegorz |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
34 |
| Issue:
|
1 |
| Year:
|
1984 |
| Pages:
|
146-155 |
| . |
| Category:
|
math |
| . |
| MSC:
|
53C12 |
| MSC:
|
57R30 |
| idZBL:
|
Zbl 0539.57015 |
| idMR:
|
MR731988 |
| DOI:
|
10.21136/CMJ.1984.101934 |
| . |
| Date available:
|
2008-06-09T14:58:33Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/101934 |
| . |
| Reference:
|
[1] Gluck H.: The generalized Minkowski problem in differential geometry in the large.Ann. of Math., 96 (1972), 245-276. Zbl 0243.53046, MR 0309021, 10.2307/1970788 |
| Reference:
|
[2J Gluck H.: Manifolds with preassigned curvature - a survey.Bull. Amer. Math. Soc, 81 (1975), 313-329. MR 0367861, 10.1007/BFb0086988 |
| Reference:
|
[3] Gluck H.: Dynamical behaviour of geodesic fields, Global theory of dynamical systems.Proc. Int. Conf., Evanston 1975, Springer Lect. Notes Math., 819 (1980), 190-215. MR 0591184, 10.2307/1971012 |
| Reference:
|
[4] Kazdan J. L., Warner F. W.: Curvature functions for compact 2-manifolds.Ann. of Math., 99 (1974), 14-47. Zbl 0273.53034, MR 0343205, 10.2307/1970898 |
| Reference:
|
[5] Kazdan J. L., Warner F. W.: Curvature functions for open 2-manifoIds.Ann. of Math., 99 (1974), 203-219. MR 0343206, 10.4310/jdg/1214432678 |
| Reference:
|
[6] Kazdan J. L., Warner F. W.: Scalar curvature and conformai deformation of Riemannian structure.J. Diff. Geom., 10 (1975), 113-134. MR 0365409 |
| Reference:
|
[7] Lawson H. В.: The quantitative theory of foliations.Amer. Math. Soc. Regional Conf. Ser. in Math., 27 (1977). Zbl 0343.57014, MR 0448368, 10.1090/S0002-9939-1960-0117741-0 |
| Reference:
|
[8] Palais R.: Extending diffeomorphisms.Proc. Amer. Math. Soc, 77 (1960), 274-277. Zbl 0095.16502, MR 0117741 |
| Reference:
|
[9] Reeb G.: Sur certaines propriétés topologiques des variétés feuilletées.Actualités Sci. Indust., no. 1183, Hermann, Paris 1952. Zbl 0049.12602, MR 0055692, 10.1007/BF02566270 |
| Reference:
|
[10] Rummler H.: Quelques notions simples en géométrie riemannienne et leurs applications aux feuilletages compacts.Comm. Math. Helv., 54 (1979), 224-239. Zbl 0409.57026, MR 0535057, 10.2307/1970556 |
| Reference:
|
[11] Simons J.: Minimal varieties in Riemannian manifolds.Ann. of Math., 88 (1968), 62- 105. Zbl 0181.49702, MR 0233295 |
| . |
