Foliations on Riemannian Manifolds and Submanifolds:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Boston, MA
Birkhäuser Boston
1998
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | This monograph is based on the author's results on the Riemannian ge ometry of foliations with nonnegative mixed curvature and on the geometry of sub manifolds with generators (rulings) in a Riemannian space of nonnegative curvature. The main idea is that such foliated (sub) manifolds can be decom posed when the dimension of the leaves (generators) is large. The methods of investigation are mostly synthetic. The work is divided into two parts, consisting of seven chapters and three appendices. Appendix A was written jointly with V. Toponogov. Part 1 is devoted to the Riemannian geometry of foliations. In the first few sections of Chapter I we give a survey of the basic results on foliated smooth manifolds (Sections 1.1-1.3), and finish in Section 1.4 with a discussion of the key problem of this work: the role of Riemannian curvature in the study of foliations on manifolds and submanifolds |
| Beschreibung: | 1 Online-Ressource (X, 286 p) |
| ISBN: | 9781461242703 9781461287179 |
| DOI: | 10.1007/978-1-4612-4270-3 |
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| 100 | 1 | |a Rovenski, Vladimir |d 1953- |e Verfasser |0 (DE-588)12012985X |4 aut | |
| 245 | 1 | 0 | |a Foliations on Riemannian Manifolds and Submanifolds |c by Vladimir Y. Rovenskii |
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| 500 | |a This monograph is based on the author's results on the Riemannian ge ometry of foliations with nonnegative mixed curvature and on the geometry of sub manifolds with generators (rulings) in a Riemannian space of nonnegative curvature. The main idea is that such foliated (sub) manifolds can be decom posed when the dimension of the leaves (generators) is large. The methods of investigation are mostly synthetic. The work is divided into two parts, consisting of seven chapters and three appendices. Appendix A was written jointly with V. Toponogov. Part 1 is devoted to the Riemannian geometry of foliations. In the first few sections of Chapter I we give a survey of the basic results on foliated smooth manifolds (Sections 1.1-1.3), and finish in Section 1.4 with a discussion of the key problem of this work: the role of Riemannian curvature in the study of foliations on manifolds and submanifolds | ||
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Datensatz im Suchindex
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| author | Rovenski, Vladimir 1953- |
| author_GND | (DE-588)12012985X |
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| author_sort | Rovenski, Vladimir 1953- |
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| classification_tum | MAT 000 |
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| ctrlnum | (OCoLC)879621999 (DE-599)BVBBV042420259 |
| dewey-full | 516.36 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516.36 |
| dewey-search | 516.36 |
| dewey-sort | 3516.36 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4612-4270-3 |
| format | Electronic eBook |
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| id | DE-604.BV042420259 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:06Z |
| institution | BVB |
| isbn | 9781461242703 9781461287179 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027855676 |
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| physical | 1 Online-Ressource (X, 286 p) |
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| spelling | Rovenski, Vladimir 1953- Verfasser (DE-588)12012985X aut Foliations on Riemannian Manifolds and Submanifolds by Vladimir Y. Rovenskii Boston, MA Birkhäuser Boston 1998 1 Online-Ressource (X, 286 p) txt rdacontent c rdamedia cr rdacarrier This monograph is based on the author's results on the Riemannian ge ometry of foliations with nonnegative mixed curvature and on the geometry of sub manifolds with generators (rulings) in a Riemannian space of nonnegative curvature. The main idea is that such foliated (sub) manifolds can be decom posed when the dimension of the leaves (generators) is large. The methods of investigation are mostly synthetic. The work is divided into two parts, consisting of seven chapters and three appendices. Appendix A was written jointly with V. Toponogov. Part 1 is devoted to the Riemannian geometry of foliations. In the first few sections of Chapter I we give a survey of the basic results on foliated smooth manifolds (Sections 1.1-1.3), and finish in Section 1.4 with a discussion of the key problem of this work: the role of Riemannian curvature in the study of foliations on manifolds and submanifolds Mathematics Global analysis Global differential geometry Differential Geometry Global Analysis and Analysis on Manifolds Mathematik Blätterung (DE-588)4007006-2 gnd rswk-swf Riemannscher Raum (DE-588)4128295-4 gnd rswk-swf Blätterung (DE-588)4007006-2 s Riemannscher Raum (DE-588)4128295-4 s 1\p DE-604 https://doi.org/10.1007/978-1-4612-4270-3 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Rovenski, Vladimir 1953- Foliations on Riemannian Manifolds and Submanifolds Mathematics Global analysis Global differential geometry Differential Geometry Global Analysis and Analysis on Manifolds Mathematik Blätterung (DE-588)4007006-2 gnd Riemannscher Raum (DE-588)4128295-4 gnd |
| subject_GND | (DE-588)4007006-2 (DE-588)4128295-4 |
| title | Foliations on Riemannian Manifolds and Submanifolds |
| title_auth | Foliations on Riemannian Manifolds and Submanifolds |
| title_exact_search | Foliations on Riemannian Manifolds and Submanifolds |
| title_full | Foliations on Riemannian Manifolds and Submanifolds by Vladimir Y. Rovenskii |
| title_fullStr | Foliations on Riemannian Manifolds and Submanifolds by Vladimir Y. Rovenskii |
| title_full_unstemmed | Foliations on Riemannian Manifolds and Submanifolds by Vladimir Y. Rovenskii |
| title_short | Foliations on Riemannian Manifolds and Submanifolds |
| title_sort | foliations on riemannian manifolds and submanifolds |
| topic | Mathematics Global analysis Global differential geometry Differential Geometry Global Analysis and Analysis on Manifolds Mathematik Blätterung (DE-588)4007006-2 gnd Riemannscher Raum (DE-588)4128295-4 gnd |
| topic_facet | Mathematics Global analysis Global differential geometry Differential Geometry Global Analysis and Analysis on Manifolds Mathematik Blätterung Riemannscher Raum |
| url | https://doi.org/10.1007/978-1-4612-4270-3 |
| work_keys_str_mv | AT rovenskivladimir foliationsonriemannianmanifoldsandsubmanifolds |