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The Riemannian and Lorentzian Splitting Theorems Read chapter Read first chapter

2017 | OriginalPaper | Chapter

Some Variational Problems on Curves and Applications

Author : Angel Ferrández

Published in: Topics in Modern Differential Geometry

Publisher: Atlantis Press

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Abstract

Some variational problems are revisited showing elastic curves as a key tool to find solutions to some classical problems such as Willmore surfaces, Willmore-Chen submanifolds and 2-dimensional nonlinear sigma models. To deepen on the interplay between Geometry and Physics, some Plyushchay models have been considered.

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previous chapter Spectrum Estimates and Applications to Geometry
next chapter Special Submanifolds in Hermitian Manifolds
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Metadata
Title
Some Variational Problems on Curves and Applications
Author
Angel Ferrández
Copyright Year
2017
Publisher
Atlantis Press
Book
Topics in Modern Differential Geometry

Print ISBN: 978-94-6239-239-7

Electronic ISBN: 978-94-6239-240-3

Copyright Year: 2017

DOI
https://doi.org/10.2991/978-94-6239-240-3_8

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