Goette, S; Schroeder, Viktor (1995). Totally geodesic hypersurfaces in manifolds of nonpositive curvature. Manuscripta Mathematica, 86(2):169-184.
In this paper we determine the structure of an embedded totally geodesic hypersurface F or, more generally, of a totally geodesic hypersurface F without selfintersections under arbitrarily small angles in a compact manifold M of nonpositive sectional curvature. Roughly speaking, in the case of locally irreducible M the result says that F has only finitely many ends, and each end splits isometrically as K ⨯ (0, ∞), where K is compact.
In this paper we determine the structure of an embedded totally geodesic hypersurface F or, more generally, of a totally geodesic hypersurface F without selfintersections under arbitrarily small angles in a compact manifold M of nonpositive sectional curvature. Roughly speaking, in the case of locally irreducible M the result says that F has only finitely many ends, and each end splits isometrically as K ⨯ (0, ∞), where K is compact.
| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Scopus Subject Areas: | Physical Sciences > General Mathematics |
| Language: | English |
| Date: | 1995 |
| Deposited On: | 29 Nov 2010 16:28 |
| Last Modified: | 29 Jul 2020 19:49 |
| Publisher: | Springer |
| ISSN: | 0025-2611 |
| OA Status: | Closed |
| Free access at: | Related URL. An embargo period may apply. |
| Publisher DOI: | https://doi.org/10.1007/BF02567986 |
| Related URLs: | http://www.digizeitschriften.de/dms/img/?PPN=PPN365956996_0086&DMDID=dmdlog16 http://www.zentralblatt-math.org/zbmath/search/?q=an%3A0830.53034 http://www.ams.org/mathscinet-getitem?mr=1317742 |
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Goette, S