| dc.creator | Marenich V. | |
| dc.date | 1998 | |
| dc.date | 2015-06-30T15:03:52Z | |
| dc.date | 2015-11-26T15:11:42Z | |
| dc.date | 2015-06-30T15:03:52Z | |
| dc.date | 2015-11-26T15:11:42Z | |
| dc.date.accessioned | 2018-03-28T22:21:48Z | |
| dc.date.available | 2018-03-28T22:21:48Z | |
| dc.identifier | | |
| dc.identifier | Anais Da Academia Brasileira De Ciencias. , v. 70, n. 1, p. 7 - 14, 1998. | |
| dc.identifier | 13765 | |
| dc.identifier | | |
| dc.identifier | http://www.scopus.com/inward/record.url?eid=2-s2.0-0346334475&partnerID=40&md5=0ec3e08a535e181764105077f72b865d | |
| dc.identifier | http://www.repositorio.unicamp.br/handle/REPOSIP/100399 | |
| dc.identifier | http://repositorio.unicamp.br/jspui/handle/REPOSIP/100399 | |
| dc.identifier | 2-s2.0-0346334475 | |
| dc.identifier.uri | http://repositorioslatinoamericanos.uchile.cl/handle/2250/1258205 | |
| dc.description | We prove that a base Bn-k of a Riemannian submersion π : Mn → Bn-k is flat, if Mn is flat at infinity and Bn-k is compact. As a corollary we obtain a topological gap-phenomenon for open manifolds of nonnegative sectional curvature. | |
| dc.description | 70 | |
| dc.description | 1 | |
| dc.description | 7 | |
| dc.description | 14 | |
| dc.description | Cheeger, J., Gromoll, D., On the structure of complete manifolds of nonnegative curvature (1972) Ann. Math., 96 (3), pp. 413-443 | |
| dc.description | Eschenburg, J.-H., Schroeder, V., Strake, M., Curvature at infinity of open nonnegatively curved manifolds (1989) J. Diff. Geom., 30, pp. 155-166 | |
| dc.description | Gromoll, D., Grove, K., The low-dimensional metric foliations of euclidean spheres (1988) J. Diff. Geom., 28, pp. 143-156 | |
| dc.description | Kasue, A., Sugahara, K., Gap theorems for certain submanifolds of euclidean spaces and hyperbolic space forms (1987) Osaka J. Math., 24, pp. 679-704 | |
| dc.description | Marenich, V., The topological gap phenomenon for open manifolds of nonnegative curvature (1985) Soviet Math. Dokl., 32, pp. 440-443 | |
| dc.description | Marenich, V., The metric structure of open manifolds of nonnegative curvature (1981) Soviet Math. Dokl., 24, pp. 595-597. , complete version (in russian) under the same title in: Ukraine Geom. Sb., no. 26 (1983), 79-96 | |
| dc.description | Marenich, V., The holonomy in open manifolds of nonnegative curvature (1996) Mich. Math. J., 43 (2), pp. 263-272 | |
| dc.description | O'Neil, B., The fundamental equations of submersion (1966) Mich. Math. J., 13 (4), pp. 459-469 | |
| dc.description | O'Neil, B., Submersions and geodesics (1967) Duke Math. J., 34, pp. 363-373 | |
| dc.description | Perelman, G., Proof of the soul conjecture of Cheeger and Gromoll (1994) J. Diff. Geom., 40, pp. 209-212 | |
| dc.description | Walschap, G., Metric foliations and curvature (1992) J. Geom. Anal., 2, pp. 373-381 | |
| dc.language | en | |
| dc.publisher | | |
| dc.relation | Anais da Academia Brasileira de Ciencias | |
| dc.rights | aberto | |
| dc.source | Scopus | |
| dc.title | Riemannian Submersions Of Open Manifolds Which Are Flat At Infinity | |
| dc.type | Artículos de revistas | |
