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Variational Problems in Riemannian Geometry Bubbles, Scans and Geometric Flows by P. Baird

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Published by Birkhäuser Basel, Imprint, Birkhäuser in Basel .
Written in English

Subjects:

  • Functional analysis,
  • Mathematics,
  • Differential equations, partial,
  • Global differential geometry

Book details:

Edition Notes

Statementedited by Paul Baird, Ali Fardoun, Rachid Regbaoui, Ahmad Soufi
SeriesProgress in Nonlinear Differential Equations and Their Applications -- 59, Progress in nonlinear differential equations and their applications -- 59.
ContributionsFardoun, Ali, Regbaoui, Rachid, Soufi, Ahmad
Classifications
LC ClassificationsQA319-329.9
The Physical Object
Format[electronic resource] :
Pagination1 online resource (XVII, 148 pages).
Number of Pages148
ID Numbers
Open LibraryOL27094097M
ISBN 103034879687
ISBN 109783034879682
OCLC/WorldCa840290295

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Part of the Progress in Nonlinear Differential Equations and Their Applications book series (PNLDE, volume 59) Log in to check access. Buy eBook. USD Differential geometry Finsler geometry Nonlinear partial differential equations Ricci flow Riemannian geometry Variational problems curvature partial differential equation. Editors. Variational Problems in Riemannian Geometry by Paul Baird, , available at Book Depository with free delivery worldwide.   Variational Problems in Riemannian Geometry: Bubbles, Scans and Geometric Flows Author: Paul Baird, Ali Fardoun, Rachid Regbaoui, Ahmad El Soufi Published by Birkhäuser Basel ISBN: DOI: / Table of Contents: Bubbles over Bubbles: A C Application of Scans and Fractional Power Integrands.   The last two chapters treat the variational problem on the energy of maps between two Riemannian manifolds and its solution, harmonic maps. The concept of a harmonic map includes geodesics and minimal submanifolds as examples. Its existence and properties have successfully been applied to various problems in geometry and topology.

Some Nonlinear Problems in Riemannian Geometry Thierry Aubin This book deals with such important subjects as variational methods, the continuity method, parabolic equations on fiber bundles, ideas concerning points of concentration, blowing-up technique, geometric and topological methods. It offers insight into a wide range of topics, including fundamental concepts of Riemannian geometry, such as geodesics, connections and curvature; the basic models and tools of geometric analysis, such as harmonic functions, forms, mappings, eigenvalues, the Dirac operator and the heat flow method; as well as the most important variational. Volume 1presents a systematic introduction to the field from a brief survey of differentiable manifolds, Lie groups and fibre bundles to the extension of local transformations and Riemannian. A. Carbonaro, G. Mauceri, A note on bounded variation and heat semigroup on Riemannian manifolds, Bull. Austral. Math. Soc. 76 () ; B. Güneysu, D. Pallara, Functions with bounded variation on a class of Riemannian manifolds with Ricci curvature unbounded from .

During the last few years, the field of nonlinear problems has undergone great book, the core of which is the content of the author's earlier book (Springer-Verlag ), updated and extended in each chapter, and augmented by several completely new chapters, deals with some important geometric problems that have only recently been solved or partially been solved.   The theory of Riemannian spaces. A Riemannian space is an -dimensional connected differentiable manifold on which a differentiable tensor field of rank 2 is given which is covariant, symmetric and positive definite. The tensor is called a metric tensor. Riemannian geometry is a multi-dimensional generalization of the intrinsic geometry (cf. Interior geometry) of two-dimensional . Variational Problems In Riemannian Geometry: Bubbles, Scans And Geometric Flows, Hardcover by Baird, Paul (EDT); El Soufi, Ahmad (EDT); Fardoun, Ali (EDT); Regbaoui, Rachid (EDT), ISBN , ISBN , Brand New, Free shipping in the USSeller Rating: % positive. variational approaches which allow one to overcome such a problem (see the book [61] or the survey [90]): (a) to transform the indefinite problem on a Lorentzian manifold in a subtler (hopefully bounded from below) problem on a Riemannian manifold; (b) to study directly the strongly indefinite functional f but by making use of.