Biharmonic Submanifolds And Biharmonic Maps In Riemannian Geometry
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A01=Bang-yen Chen
A01=Ye-lin Ou
Author_Bang-yen Chen
Author_Ye-lin Ou
Biharmonic Conformal Immersions
Biharmonic Maps
Biharmonic Maps between Surfaces
Biharmonic Maps into Spheres
Biharmonic Riemannian Submersions
Biharmonic Submanifolds
Biharmonic Submanifolds in Spheres
Category=PBMP
Chen's Conjecture on Biharmonic Submanifolds
Conformal Biharmonic Maps
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Equivariant Biharmonic Maps
f-biharmonic Maps
f-harmonic Maps
f-Minimal Hypersurfaces
Generalized Chen's Conjecture on Biharmonic Submanifolds
Harmonic Maps
Infinity Harmonic Maps
Liouville-type Theorems
Minimal Submanifolds
p-harmonic Maps
Riemannian Geometry
Second Variation of Bienergy
Stable Biharmonic Maps
Unique Continuation Theorems
Product details
- ISBN 9789811212376
- Publication Date: 22 Apr 2020
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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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 and tools used in the study of the subject as well as an overall picture of the development of the subject with most up-to-date important results.Biharmonic submanifolds are submanifolds whose isometric immersions are biharmonic maps, thus biharmonic submanifolds include minimal submanifolds as a subclass. Biharmonic submanifolds also appeared in the study of finite type submanifolds in Euclidean spaces.Biharmonic maps are maps between Riemannian manifolds that are critical points of the bienergy. They are generalizations of harmonic maps and biharmonic functions which have many important applications and interesting links to many areas of mathematics and theoretical physics.Since 2000, biharmonic submanifolds and maps have become a vibrant research field with a growing number of researchers around the world, with many interesting results have been obtained.This book containing basic knowledge, tools for some fundamental problems and a comprehensive survey on the study of biharmonic submanifolds and maps will be greatly beneficial for graduate students and beginning researchers who want to study the subject, as well as researchers who have already been working in the field.
