تقرير
Born-Infeld Solitons and Existence & Non-uniqueness of Solutions to the Bj\'orling Problem
| العنوان: | Born-Infeld Solitons and Existence & Non-uniqueness of Solutions to the Bj\'orling Problem |
|---|---|
| المؤلفون: | Das, Arka |
| سنة النشر: | 2022 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Differential Geometry |
| الوصف: | In this semi-expository article, we study Born-Infeld soliton surfaces as zero mean curvature surfaces and derive conformal parameters for them. Then we present two approaches to solve the Bj\"orling problem for such surfaces, one of them treating them as time-like minimal surfaces and the other one using the Barbashov-Chernikov representation. Finally, we show that the solution to the Bj\"orling problem may not be unique unlike minimal and maximal surfaces. |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2211.03275 |
| رقم الأكسشن: | edsarx.2211.03275 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |