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- catalog abstract "The book contains a clear exposition of two contemporary topics in modern differential geometry: - distance geometric analysis on manifolds, in particular, comparison theory for distance functions in spaces which have well defined bounds on their curvature - the application of the Lichnerowicz formula for Dirac operators to the study of Gromov's invariants to measure the K-theoretic size of a Riemannian manifold. It is intended for both graduate students and researchers who want to get a quick and modern introduction to these topics.".
- catalog contributor b13017718.
- catalog contributor b13017719.
- catalog created "c2003.".
- catalog date "2003".
- catalog date "c2003.".
- catalog dateCopyrighted "c2003.".
- catalog description "Distance Geometric Analysis on Manifolds / Steen Markvorsen -- 1. Appetizer and Introduction -- 2. The Comparison Setting and Preliminaries -- 3. Analysis of Restricted Distance Functions -- 4. Concerning the Setting and Notation -- 5. Green's Formulae and the Co-area Formula -- 6. The First Dirichlet Eigenvalue Comparison Theorem -- 7. Isoperimetric Relations -- 8. Mean Exit Time Comparison -- 9. Capacity Comparison -- 10. The Kelvin-Nevanlinna-Royden Criteria for Transience -- 11. Surfaces of Revolution -- 12. Warped Products -- 13. Answering the Questions in the Appetizer -- 14. A Sufficient Condition for Hyperbolicity -- 15. Graphs and Flows -- 16. Scherk's Graph is Transient.".
- catalog description "Includes bibliographical references.".
- catalog description "The book contains a clear exposition of two contemporary topics in modern differential geometry: - distance geometric analysis on manifolds, in particular, comparison theory for distance functions in spaces which have well defined bounds on their curvature - the application of the Lichnerowicz formula for Dirac operators to the study of Gromov's invariants to measure the K-theoretic size of a Riemannian manifold. It is intended for both graduate students and researchers who want to get a quick and modern introduction to these topics.".
- catalog extent "87 p. :".
- catalog identifier "0817621709 (acid-free paper)".
- catalog identifier "3764321709 (acid-free paper)".
- catalog isPartOf "Advanced courses in mathematics, CRM Barcelona".
- catalog issued "2003".
- catalog issued "c2003.".
- catalog language "eng".
- catalog publisher "Basel, Switzerland ; Boston : Birkhäuser Verlag,".
- catalog subject "516.3/73 21".
- catalog subject "Cell aggregation Mathematics.".
- catalog subject "Global Riemannian geometry.".
- catalog subject "Global analysis (Mathematics)".
- catalog subject "Global differential geometry.".
- catalog subject "Mathematics.".
- catalog subject "QA671 .M37 2003".
- catalog tableOfContents "Distance Geometric Analysis on Manifolds / Steen Markvorsen -- 1. Appetizer and Introduction -- 2. The Comparison Setting and Preliminaries -- 3. Analysis of Restricted Distance Functions -- 4. Concerning the Setting and Notation -- 5. Green's Formulae and the Co-area Formula -- 6. The First Dirichlet Eigenvalue Comparison Theorem -- 7. Isoperimetric Relations -- 8. Mean Exit Time Comparison -- 9. Capacity Comparison -- 10. The Kelvin-Nevanlinna-Royden Criteria for Transience -- 11. Surfaces of Revolution -- 12. Warped Products -- 13. Answering the Questions in the Appetizer -- 14. A Sufficient Condition for Hyperbolicity -- 15. Graphs and Flows -- 16. Scherk's Graph is Transient.".
- catalog title "Global Riemannian geometry : curvature and topology / Steen Markvorsen, Maung Min-Oo.".
- catalog type "text".