{"text_format":"2","workbook":"xls","n_sheets":1,"sheets":["report2"],"not_rendered":{"charts":0,"images":0,"macros":0,"external_links":1,"defined_names":1,"comments":0,"pivot_tables":0},"unopened":[],"bounds":{"document_bytes":16777216,"sheet_cells":100000,"run_cost":"one","rows_first":2000,"rows_last":500,"rows_between":2000,"halvings":0,"cell_chars":16384,"cell_head_chars":4096},"cells_cut":0,"cells_raw":0,"read":"whole","date_system":"1900","formulas":"cached_only"}

{"sheet":"report2","index":0,"n_rows":22,"n_cols":5,"rows_kept":22,"cut":false,"hidden":false,"merged":[[0,2,0,3],[0,4,0,5],[1,2,1,3],[1,4,1,5],[2,2,2,3],[2,4,2,5],[3,2,3,3],[4,2,4,3],[6,2,6,3],[7,2,7,3],[8,2,8,3],[9,2,9,3],[10,2,10,3],[15,2,15,3],[16,2,16,3],[20,2,20,3]],"flags":["formulas_cached_only"]}
[null,"1.","Record Nr.",null,"UNINA9910484396803321"]
[null,null,"Autore",null,"Andrews Ben"]
[null,null,"Titolo",null,"The Ricci flow in Riemannian geometry : a complete proof of the differentiable 1/4-pinching sphere theorem / / by Ben Andrews, Christopher Hopper"]
[null,null,"Pubbl/distr/stampa",null,"Heidelberg, : Springer-Verlag Berlin Heidelberg, 2010"]
[null,null,"ISBN",null,"9783642162862"]
[{"$nulls":4},"364216286X"]
[null,null,"Edizione",null,"[1st ed. 2011.]"]
[null,null,"Descrizione fisica",null,"1 online resource (XVIII, 302 p. 13 illus., 2 illus. in color.)"]
[null,null,"Collana",null,"Lecture notes in mathematics, , 0075-8434 ; ; 2011"]
[null,null,"Disciplina",null,"516.3/62"]
[null,null,"Soggetti",null,"Ricci flow"]
[{"$nulls":4},"Geometry, Riemannian"]
[{"$nulls":4},"Differentiable dynamical systems"]
[{"$nulls":4},"Differential equations, Partial"]
[{"$nulls":4},"Global differential geometry"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","Bibliographic Level Mode of Issuance: Monograph"]
[null,null,null,"Nota di bibliografia","Includes bibliographical references and index."]
[null,null,"Nota di contenuto",null,"1 Introduction -- 2 Background Material -- 3 Harmonic Mappings -- 4 Evolution of the Curvature -- 5 Short-Time Existence -- 6 Uhlenbeck’s Trick -- 7 The Weak Maximum Principle -- 8 Regularity and Long-Time Existence -- 9 The Compactness Theorem for Riemannian Manifolds -- 10 The F-Functional and Gradient Flows -- 11 The W-Functional and Local Noncollapsing -- 12 An Algebraic Identity for Curvature Operators -- 13 The Cone Construction of Böhm and Wilking -- 14 Preserving Positive Isotropic Curvature -- 15 The Final Argument."]
[null,null,null,"Sommario/riassunto","This book focuses on Hamilton's Ricci flow, beginning with a detailed discussion of the required aspects of differential geometry, progressing through existence and regularity theory, compactness theorems for Riemannian manifolds, and Perelman's noncollapsing results, and culminating in a detailed analysis of the evolution of curvature, where recent breakthroughs of Böhm and Wilking and Brendle and Schoen have led to a proof of the differentiable 1/4-pinching sphere theorem."]