Mean Curvature Flow and Isoperimetric Inequalities (Record no. 111099)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 03226nam a22004695i 4500 |
| 001 - CONTROL NUMBER | |
| control field | 978-3-0346-0213-6 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | DE-He213 |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20140220084518.0 |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr nn 008mamaa |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 100301s2010 sz | s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9783034602136 |
| -- | 978-3-0346-0213-6 |
| 024 7# - OTHER STANDARD IDENTIFIER | |
| Standard number or code | 10.1007/978-3-0346-0213-6 |
| Source of number or code | doi |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA641-670 |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | PBMP |
| Source | bicssc |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | MAT012030 |
| Source | bisacsh |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 516.36 |
| Edition number | 23 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Ritoré, Manuel. |
| Relator term | author. |
| 245 10 - TITLE STATEMENT | |
| Title | Mean Curvature Flow and Isoperimetric Inequalities |
| Medium | [electronic resource] / |
| Statement of responsibility, etc | by Manuel Ritoré, Carlo Sinestrari. |
| 264 #1 - | |
| -- | Basel : |
| -- | Birkhäuser Basel, |
| -- | 2010. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Other physical details | online resource. |
| 336 ## - | |
| -- | text |
| -- | txt |
| -- | rdacontent |
| 337 ## - | |
| -- | computer |
| -- | c |
| -- | rdamedia |
| 338 ## - | |
| -- | online resource |
| -- | cr |
| -- | rdacarrier |
| 347 ## - | |
| -- | text file |
| -- | |
| -- | rda |
| 490 1# - SERIES STATEMENT | |
| Series statement | Advanced Courses in Mathematics — CRM Barcelona, Centre de Recerca Matemàtica |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Formation of Singularities in the Mean Curvature Flow -- Geometry of hypersurfaces -- Examples -- Local existence and formation of singularities -- Invariance properties -- Singular behaviour of convex surfaces -- Convexity estimates -- Rescaling near a singularity -- Huisken’s monotonicity formula -- Cylindrical and gradient estimates -- Mean curvature flow with surgeries -- Geometric Flows, Isoperimetric Inequalities and Hyperbolic Geometry -- The classical isoperimetric inequality in Euclidean space -- Surfaces -- Higher dimensions -- Some applications to hyperbolic geometry. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | Geometric flows have many applications in physics and geometry. The mean curvature flow occurs in the description of the interface evolution in certain physical models. This is related to the property that such a flow is the gradient flow of the area functional and therefore appears naturally in problems where a surface energy is minimized. The mean curvature flow also has many geometric applications, in analogy with the Ricci flow of metrics on abstract riemannian manifolds. One can use this flow as a tool to obtain classification results for surfaces satisfying certain curvature conditions, as well as to construct minimal surfaces. Geometric flows, obtained from solutions of geometric parabolic equations, can be considered as an alternative tool to prove isoperimetric inequalities. On the other hand, isoperimetric inequalities can help in treating several aspects of convergence of these flows. Isoperimetric inequalities have many applications in other fields of geometry, like hyperbolic manifolds. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Mathematics. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Global analysis. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Global differential geometry. |
| 650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Mathematics. |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Differential Geometry. |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Global Analysis and Analysis on Manifolds. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Sinestrari, Carlo. |
| Relator term | author. |
| 710 2# - ADDED ENTRY--CORPORATE NAME | |
| Corporate name or jurisdiction name as entry element | SpringerLink (Online service) |
| 773 0# - HOST ITEM ENTRY | |
| Title | Springer eBooks |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Display text | Printed edition: |
| International Standard Book Number | 9783034602129 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | Advanced Courses in Mathematics — CRM Barcelona, Centre de Recerca Matemàtica |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | http://dx.doi.org/10.1007/978-3-0346-0213-6 |
| 912 ## - | |
| -- | ZDB-2-SMA |
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