Abstract
This is a survey article on the spherical method for studying Wulff shapes and related topics. The spherical method, which seems less common, is a powerful tool to study Wulff shapes and their related topics. It is verified how powerful the spherical method is by various results which seem difficult to be obtained without using the method. In this survey, the spherical method is explained in detail, and results obtained by using the spherical method until April 2016 are explained as well.
Information
Published: 1 January 2018
First available in Project Euclid: 4 October 2018
zbMATH: 07085099
MathSciNet: MR3839941
Digital Object Identifier: 10.2969/aspm/07810001
Subjects:
Primary:
52A55
Secondary:
52A20
,
57R45
,
82D25
Keywords:
convex integrand
,
pedal
,
Spherical caustic
,
Spherical dual
,
Spherical method
,
Spherical pedal
,
spherical polar set
,
Spherical symmetry set
,
Spherical Wulff shape
,
Wulff shape
Rights: Copyright © 2018 Mathematical Society of Japan
