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Published in:
The Riemannian and Lorentzian Splitting Theorems Read chapter Read first chapter

2017 | OriginalPaper | Chapter

Geometry and Materials

Author : Bennett Palmer

Published in: Topics in Modern Differential Geometry

Publisher: Atlantis Press

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Abstract

We give an introduction to anisotropic surface energies motivated by the study of liquid crystal interfaces. Chandrasekhar’s proof of Wulff’s Theorem is discussed. We also recall the construction of surfaces of revolution with constant anisotropic mean curvature.

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previous chapter Periodic Trajectories of Dynamical Systems Having a One-Parameter Group of Symmetries
next chapter On Deciding Whether a Submanifold Is Parabolic or Hyperbolic Using Its Mean Curvature
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L.P. Eisenhardt, A Treatise on the Differential Geometry of Curves and Surfaces (Dover Publ. Inc., New York, 1960)
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M. Koiso, B. Palmer, Geometry and stability of surfaces with constant anisotropic mean curvature. Indiana Univ. Math. J. 54(6), 1817–1852 (2005)MathSciNetCrossRefMATH
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J. Gielis, A generic geometric transformation that unifies a large range of natural and abstract shapes. Am. J. Bot. 90(3, Invited Special Paper), 333–338 (2003)CrossRef
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J.D. Bernal, I. Fankuchen, X-ray and crystallographic studies of plant virus preparations. J. Gen. Physiol. 25, 111 (1941)CrossRef
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Metadata
Title
Geometry and Materials
Author
Bennett Palmer
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_3

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