Recent advances in Alexandrov geometry:
This volume is devoted to various aspects of Alexandrov Geometry for those wishing to get a detailed picture of the advances in the field. It contains enhanced versions of the lecture notes of the two mini-courses plus those of one research talk given at CIMAT.Peter Petersen’s part aims at presentin...
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| Weitere Verfasser: | , , |
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| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cham, Switzerland
Birkhäuser
[2022]
|
| Schriftenreihe: | CIMAT lectures in mathematical sciences
|
| Schlagworte: | |
| Zusammenfassung: | This volume is devoted to various aspects of Alexandrov Geometry for those wishing to get a detailed picture of the advances in the field. It contains enhanced versions of the lecture notes of the two mini-courses plus those of one research talk given at CIMAT.Peter Petersen’s part aims at presenting various rigidity results about Alexandrov spaces in a way that facilitates the understanding by a larger audience of geometers of some of the current research in the subject. They contain a brief overview of the fundamental aspects of the theory of Alexandrov spaces with lower curvature bounds, as well as the aforementioned rigidity results with complete proofs.The text from Fernando Galaz-Garci'a’s minicourse was completed in collaboration with Jesu's Nun~ez-Zimbro'n. It presents an up-to-date and panoramic view of the topology and geometry of 3-dimensional Alexandrov spaces, including the classification of positively and non-negatively curved spaces and the geometrization theorem. They also present Lie group actions and their topological and equivariant classifications as well as a brief account of results on collapsing Alexandrov spaces.Jesu's Nun~ez-Zimbro'n’s contribution surveys two recent developments in the understanding of the topological and geometric rigidity of singular spaces with curvature bounded below |
| Beschreibung: | vii, 111 Seiten Illustrationen, Diagramme 354 grams |
| ISBN: | 9783030992972 |
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| institution | BVB |
| isbn | 9783030992972 |
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| spelling | Recent advances in Alexandrov geometry Gerardo Arizmendi Echegaray, Luis Hernández-Lamoneda, Rafael Herrera Guzmán, editors Cham, Switzerland Birkhäuser [2022] vii, 111 Seiten Illustrationen, Diagramme 354 grams txt rdacontent n rdamedia nc rdacarrier CIMAT lectures in mathematical sciences This volume is devoted to various aspects of Alexandrov Geometry for those wishing to get a detailed picture of the advances in the field. It contains enhanced versions of the lecture notes of the two mini-courses plus those of one research talk given at CIMAT.Peter Petersen’s part aims at presenting various rigidity results about Alexandrov spaces in a way that facilitates the understanding by a larger audience of geometers of some of the current research in the subject. They contain a brief overview of the fundamental aspects of the theory of Alexandrov spaces with lower curvature bounds, as well as the aforementioned rigidity results with complete proofs.The text from Fernando Galaz-Garci'a’s minicourse was completed in collaboration with Jesu's Nun~ez-Zimbro'n. It presents an up-to-date and panoramic view of the topology and geometry of 3-dimensional Alexandrov spaces, including the classification of positively and non-negatively curved spaces and the geometrization theorem. They also present Lie group actions and their topological and equivariant classifications as well as a brief account of results on collapsing Alexandrov spaces.Jesu's Nun~ez-Zimbro'n’s contribution surveys two recent developments in the understanding of the topological and geometric rigidity of singular spaces with curvature bounded below bicssc bisacsh Manifolds (Mathematics) Geometry, Differential Hardcover, Softcover / Mathematik/Geometrie Arizmendi Echegaray, Gerardo (DE-588)1274110564 edt Hernández-Lamoneda, Luis (DE-588)1154815382 edt Herrera Guzmán, Rafael (DE-588)1057986593 edt Erscheint auch als Online-Ausgabe 978-3-030-99298-9 |
| spellingShingle | Recent advances in Alexandrov geometry bicssc bisacsh Manifolds (Mathematics) Geometry, Differential |
| title | Recent advances in Alexandrov geometry |
| title_auth | Recent advances in Alexandrov geometry |
| title_exact_search | Recent advances in Alexandrov geometry |
| title_exact_search_txtP | Recent advances in Alexandrov geometry |
| title_full | Recent advances in Alexandrov geometry Gerardo Arizmendi Echegaray, Luis Hernández-Lamoneda, Rafael Herrera Guzmán, editors |
| title_fullStr | Recent advances in Alexandrov geometry Gerardo Arizmendi Echegaray, Luis Hernández-Lamoneda, Rafael Herrera Guzmán, editors |
| title_full_unstemmed | Recent advances in Alexandrov geometry Gerardo Arizmendi Echegaray, Luis Hernández-Lamoneda, Rafael Herrera Guzmán, editors |
| title_short | Recent advances in Alexandrov geometry |
| title_sort | recent advances in alexandrov geometry |
| topic | bicssc bisacsh Manifolds (Mathematics) Geometry, Differential |
| topic_facet | bicssc bisacsh Manifolds (Mathematics) Geometry, Differential |
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