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003 - CONTROL NUMBER IDENTIFIER |
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005 - DATE AND TIME OF LATEST TRANSACTION |
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20140310151446.0 |
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION |
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110723s2011 xxu| s |||| 0|eng d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
9781441999085 |
|
978-1-4419-9908-5 |
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 - |
-- |
New York, NY : |
-- |
Springer New York, |
-- |
2011. |
912 ## - |
-- |
ZDB-2-SMA |
100 1# - MAIN ENTRY--PERSONAL NAME |
Personal name |
Rovenski, Vladimir. |
Relator term |
author. |
245 10 - IMMEDIATE SOURCE OF ACQUISITION NOTE |
Title |
Topics in Extrinsic Geometry of Codimension-One Foliations |
Medium |
[electronic resource] / |
Statement of responsibility, etc |
by Vladimir Rovenski, Paweł Walczak. |
250 ## - EDITION STATEMENT |
Edition statement |
1. |
300 ## - PHYSICAL DESCRIPTION |
Extent |
XV, 114p. 6 illus. |
Other physical details |
online resource. |
440 1# - SERIES STATEMENT/ADDED ENTRY--TITLE |
Title |
SpringerBriefs in Mathematics, |
International Standard Serial Number |
2191-8198 |
520 ## - SUMMARY, ETC. |
Summary, etc |
Extrinsic geometry describes properties of foliations on Riemannian manifolds which can be expressed in terms of the second fundamental form of the leaves. The authors of Topics in Extrinsic Geometry of Codimension-One Foliations achieve a technical tour de force, which will lead to important geometric results. The Integral Formulae, introduced in chapter 1, is a useful for problems such as: prescribing higher mean curvatures of foliations, minimizing volume and energy defined for vector or plane fields on manifolds, and existence of foliations whose leaves enjoy given geometric properties. The Integral Formulae steams from a Reeb formula, for foliations on space forms which generalize the classical ones. For a special auxiliary functions the formulae involve the Newton transformations of the Weingarten operator. The central topic of this book is Extrinsic Geometric Flow (EGF) on foliated manifolds, which may be a tool for prescribing extrinsic geometric properties of foliations. To develop EGF, one needs Variational Formulae, revealed in chapter 2, which expresses a change in different extrinsic geometric quantities of a fixed foliation under leaf-wise variation of the Riemannian Structure of the ambient manifold. Chapter 3 defines a general notion of EGF and studies the evolution of Riemannian metrics along the trajectories of this flow(e.g., describes the short-time existence and uniqueness theory and estimate the maximal existence time).Some special solutions (called Extrinsic Geometric Solutions) of EGF are presented and are of great interest, since they provide Riemannian Structures with very particular geometry of the leaves. This work is aimed at those who have an interest in the differential geometry of submanifolds and foliations of Riemannian 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 |
Differential equations, partial. |
|
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 |
Partial Differential Equations. |
700 1# - ADDED ENTRY--PERSONAL NAME |
Personal name |
Walczak, Paweł. |
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 |
9781441999078 |
856 40 - ELECTRONIC LOCATION AND ACCESS |
Uniform Resource Identifier |
http://dx.doi.org/10.1007/978-1-4419-9908-5 |
942 ## - ADDED ENTRY ELEMENTS (KOHA) |
Source of classification or shelving scheme |
|
Item type |
E-Book |