0
Your cart

Your cart is empty

Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations

Buy Now

Topics in Extrinsic Geometry of Codimension-One Foliations (Paperback, 2011 ed.) Loot Price: R1,547
Discovery Miles 15 470
Topics in Extrinsic Geometry of Codimension-One Foliations (Paperback, 2011 ed.): Vladimir Rovenski, Pawel Walczak

Topics in Extrinsic Geometry of Codimension-One Foliations (Paperback, 2011 ed.)

Vladimir Rovenski, Pawel Walczak

Series: SpringerBriefs in Mathematics

 (sign in to rate)
Loot Price R1,547 Discovery Miles 15 470 | Repayment Terms: R145 pm x 12*

Bookmark and Share

Expected to ship within 10 - 15 working days

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. "

General

Imprint: Springer-Verlag New York
Country of origin: United States
Series: SpringerBriefs in Mathematics
Release date: August 2011
First published: 2011
Authors: Vladimir Rovenski • Pawel Walczak
Dimensions: 235 x 155 x 7mm (L x W x T)
Format: Paperback
Pages: 114
Edition: 2011 ed.
ISBN-13: 978-1-4419-9907-8
Categories: Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations
Books > Science & Mathematics > Mathematics > Geometry > Differential & Riemannian geometry
Promotions
LSN: 1-4419-9907-8
Barcode: 9781441999078

Is the information for this product incomplete, wrong or inappropriate? Let us know about it.

Does this product have an incorrect or missing image? Send us a new image.

Is this product missing categories? Add more categories.

Review This Product

No reviews yet - be the first to create one!

You might also like..

Differential Equations with…
Dennis Zill Paperback R1,342 R1,251 Discovery Miles 12 510
Differential Equations with…
Warren Wright, Dennis Zill Paperback  (1)
R1,394 R1,294 Discovery Miles 12 940
Electromagnetic Wave Diffraction by…
Smirnov, Ilyinsky Hardcover R2,960 R2,557 Discovery Miles 25 570
Differential Equations with Boundary…
Dennis Zill Paperback R1,364 R1,268 Discovery Miles 12 680
Partial Differential Equations
Osamu Sano Hardcover R2,836 Discovery Miles 28 360
Dissipative Lattice Dynamical Systems
Xiaoying Han, Peter Kloeden Hardcover R3,765 Discovery Miles 37 650
Schaum's Outline of Differential…
Richard Bronson, Gabriel B Costa Paperback R510 Discovery Miles 5 100
Hormander Operators
Marco Bramanti, Luca Brandolini Hardcover R5,407 Discovery Miles 54 070
Qualitative Theory Of Odes: An…
Henryk Zoladek, Raul Murillo Hardcover R2,707 Discovery Miles 27 070
Nonlinear Functional Analysis and…
Jesus Garcia-Falset, Khalid Latrach Hardcover R5,407 Discovery Miles 54 070
Boundary Elements and other Mesh…
A. H.-D. Cheng, S. Syngellakis Hardcover R3,541 Discovery Miles 35 410
Cross Diffusion Systems - Dynamics…
Dung Le Hardcover R4,847 Discovery Miles 48 470

See more

Partners