Geometry Of Biharmonic Mappings: Differential Geometry Of Variational Methods

Geometry Of Biharmonic Mappings: Differential Geometry Of Variational Methods
Author: Hajime Urakawa
Publisher: World Scientific
Total Pages: 349
Release: 2018-12-06
Genre: Mathematics
ISBN: 9813236418

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'The present volume, written in a clear and precise style, ends with a rich bibliography of 167 items, including some classical books and papers. In the reviewer’s opinion, this excellent monograph will be a basic reference for graduate students and researchers working in the field of differential geometry of variational methods.'zbMATHThe author describes harmonic maps which are critical points of the energy functional, and biharmonic maps which are critical points of the bienergy functional. Also given are fundamental materials of the variational methods in differential geometry, and also fundamental materials of differential geometry.


Geometry Of Biharmonic Mappings: Differential Geometry Of Variational Methods
Language: en
Pages: 349
Authors: Hajime Urakawa
Categories: Mathematics
Type: BOOK - Published: 2018-12-06 - Publisher: World Scientific

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'The present volume, written in a clear and precise style, ends with a rich bibliography of 167 items, including some classical books and papers. In the reviewe
Harmonic Vector Fields
Language: en
Pages: 529
Authors: Sorin Dragomir
Categories: Computers
Type: BOOK - Published: 2011-10-26 - Publisher: Elsevier

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An excellent reference for anyone needing to examine properties of harmonic vector fields to help them solve research problems. The book provides the main resul
Geometry of Harmonic Maps
Language: en
Pages: 252
Authors: Yuanlong Xin
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

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Harmonic maps are solutions to a natural geometrical variational prob lem. This notion grew out of essential notions in differential geometry, such as geodesics
Biharmonic Submanifolds And Biharmonic Maps In Riemannian Geometry
Language: en
Pages: 541
Authors: Ye-lin Ou
Categories: Mathematics
Type: BOOK - Published: 2020-04-04 - Publisher: World Scientific

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The book aims to present a comprehensive survey on biharmonic submanifolds and maps from the viewpoint of Riemannian geometry. It provides some basic knowledge
Harmonic Maps and Minimal Immersions with Symmetries (AM-130), Volume 130
Language: en
Pages: 240
Authors: James Eells
Categories: Mathematics
Type: BOOK - Published: 2016-03-02 - Publisher: Princeton University Press

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The aim of this book is to study harmonic maps, minimal and parallel mean curvature immersions in the presence of symmetry. In several instances, the latter per