Lectures on spaces of nonpositive curvature / (Record no. 10169)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 02639cam a2200265 a 4500 |
| 001 - CONTROL NUMBER | |
| control field | vtls000000070 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | VRT |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20250102223513.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 080907s1995 maua |b 001 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 3764352426 (alk. paper) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 0817652426 (alk. paper) |
| 039 #9 - LEVEL OF BIBLIOGRAPHIC CONTROL AND CODING DETAIL [OBSOLETE] | |
| Level of rules in bibliographic description | 202302161034 |
| Level of effort used to assign nonsubject heading access points | shakra |
| Level of effort used to assign subject headings | 201402040046 |
| Level of effort used to assign classification | VLOAD |
| Level of effort used to assign subject headings | 201007191216 |
| Level of effort used to assign classification | malmash |
| Level of effort used to assign subject headings | 201007191215 |
| Level of effort used to assign classification | malmash |
| -- | 200809071216 |
| -- | staff |
| 050 00 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA611.28 |
| Item number | .B35 1995 |
| 082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 514/.7 |
| Edition information | 20 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Ballmann, Werner. |
| 9 (RLIN) | 24744 |
| 245 10 - TITLE STATEMENT | |
| Title | Lectures on spaces of nonpositive curvature / |
| Statement of responsibility, etc. | Werner Ballmann ; with an appendix by Misha Brin, Ergodicity of geodesic flows. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. | |
| Place of publication, distribution, etc. | Basel ; |
| -- | Boston : |
| Name of publisher, distributor, etc. | Birkhauser Verlag, |
| Date of publication, distribution, etc. | c1995. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | v, 112 p. : |
| Other physical details | ill. ; |
| Dimensions | 24 cm, |
| 440 #0 - SERIES STATEMENT/ADDED ENTRY--TITLE | |
| Title | DMV Seminar ; |
| Volume/sequential designation | Bd. 25 |
| 9 (RLIN) | 24745 |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE | |
| Bibliography, etc. note | Includes bibliographical references (p. [97]-109) and index. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | Singular spaces with upper curvature bounds and, in particular, spaces of nonpositive curvature, have been of interest in many fields, including geometric (and combinatorial) group theory, topology, dynamical systems and probability theory. In the first two chapters of the book, a concise introduction into these spaces is given, culminating in the Hadamard-Cartan theorem and the discussion of the ideal boundary at infinity for simply connected complete spaces of nonpositive curvature. In the third chapter, qualitative properties of the geodesic flow on geodesically complete spaces of nonpositive curvature are discussed, as are random walks on groups of isometries of nonpositively curved spaces. The main class of spaces considered should be precisely complementary to symmetric spaces of higher rank and Euclidean buildings of dimension at least two (Rank Rigidity conjecture). In the smooth case, this is known and is the content of the Rank Rigidity theorem. An updated version of the proof of the latter theorem (in the smooth case) is presented in Chapter IV of the book. This chapter contains also a short introduction into the geometry of the unit tangent bundle of a Riemannian manifold and the basic facts about the geodesic flow. In an appendix by Misha Brin, a self-contained and short proof of the ergodicity of the geodesic flow of a compact Riemannian manifold of negative curvature is given. The proof is elementary and should be accessible to the non-specialist. Some of the essential features and problems of the ergodic theory of smooth dynamical systems are discussed, and the appendix can serve as an introduction into this theory. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Metric spaces. |
| 9 (RLIN) | 24746 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Geodesic flows. |
| 9 (RLIN) | 24747 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Source of classification or shelving scheme | Library of Congress Classification |
| Suppress in OPAC | No |
| Koha item type | Books |
| Withdrawn status | Lost status | Source of classification or shelving scheme | Damaged status | Not for loan | Home library | Current library | Shelving location | Date acquired | Total checkouts | Full call number | Barcode | Date last seen | Copy number | Price effective from | Koha item type |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Library of Congress Classification | Library | Library | First Floor | 21/12/2024 | QA611.28 .B35 1995 | 8497 | 21/12/2024 | 1 | 21/12/2024 | Books |