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Mean Curvature Flow and Isoperimetric Inequalities (Record no. 23362)

000 -LEADER
fixed length control field 03039nam a22004335i 4500
003 - CONTROL NUMBER IDENTIFIER
control field OSt
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20140310151451.0
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
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA641-670
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 516.36
Edition number 23
264 #1 -
-- Basel :
-- Birkhäuser Basel,
-- 2010.
912 ## -
-- ZDB-2-SMA
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Ritoré, Manuel.
Relator term author.
245 10 - IMMEDIATE SOURCE OF ACQUISITION NOTE
Title Mean Curvature Flow and Isoperimetric Inequalities
Medium [electronic resource] /
Statement of responsibility, etc by Manuel Ritoré, Carlo Sinestrari.
300 ## - PHYSICAL DESCRIPTION
Other physical details online resource.
440 1# - SERIES STATEMENT/ADDED ENTRY--TITLE
Title 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.
Topical term or geographic name as entry element Global analysis.
Topical term or geographic name as entry element Global differential geometry.
Topical term or geographic name as entry element Mathematics.
Topical term or geographic name as entry element Differential Geometry.
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
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier http://dx.doi.org/10.1007/978-3-0346-0213-6
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme
Item type E-Book
Copies
Price effective from Permanent location Date last seen Not for loan Date acquired Source of classification or shelving scheme Koha item type Damaged status Lost status Withdrawn status Current location Full call number
2014-04-10AUM Main Library2014-04-10 2014-04-10 E-Book   AUM Main Library516.36

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