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Willmore Energy and Willmore Conjecture

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A.C. Quintino
calculus of variations
Category=PBC
Category=PBM
Category=PBW
Category=PHU
Clifford Torus
Compact Orientable Surface
Conformal Classes
Conformal Structures
Conformal Transformations
Conformal Types
constrained surface minimization problems
curvature
Curvature Tori
differential geometry
Digital Geometry Processing
Energy Profile
eq_bestseller
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
eq_non-fiction
eq_science
Euclidean
Euler Lagrange Equation
Franz Pedit
Gauss Bonnet Theorem
geometric analysis
harmonic maps
Hellfrich-type energies
Higher Codimension
Holomorphic Line Bundle
integrable systems
Intrinsic Period
Ivailo M. Mladenov
Jacobi Operator
Level Set Formulation
Lie group theory
Line Bundles
Lynn Heller
M. D. Toda
Mariana Ts. Hadzhilazova
Min-max theory
Minimal Surfaces
Orbit Type
Peng Wang
Peter A. Djondjorov
Quadratic Holomorphic Differential
Riemann Surface
Spectral Genus
Stereographic Projections
surfaces
Symmetric Space
Torus Knots
Vassil M. Vassilev

Product details

  • ISBN 9781498744638
  • Weight: 362g
  • Dimensions: 156 x 234mm
  • Publication Date: 13 Oct 2017
  • Publisher: Taylor & Francis Inc
  • Publication City/Country: US
  • Product Form: Hardback
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Description

This book is the first monograph dedicated entirely to Willmore energy and Willmore surfaces as contemporary topics in differential geometry. While it focuses on Willmore energy and related conjectures, it also sits at the intersection between integrable systems, harmonic maps, Lie groups, calculus of variations, geometric analysis and applied differential geometry.

Rather than reproducing published results, it presents new directions, developments and open problems. It addresses questions like: What is new in Willmore theory? Are there any new Willmore conjectures and open problems? What are the contemporary applications of Willmore surfaces?

As well as mathematicians and physicists, this book is a useful tool for postdoctoral researchers and advanced graduate students working in this area.

About
Magdalena Toda holds a PhD in Mathematics from University of Kansas and a PhD in Applied Mathematics from University Politehnica Bucharest. She is currently a Professor of Mathematics at Texas Tech University, where she has served as interim chairperson between 2015-2016, and as department chairperson since 2016. She has published over 30 articles in academic journals on topics including surface theory and geometric solutions of non-linear partial differential equations. Over the past decade she has mainly studied fluid flows from a geometric viewpoint. Willmore-type energies represent one of her most recent interests.