Explicit vector spherical harmonics on the 3-sphere

التفاصيل البيبلوغرافية
العنوان: Explicit vector spherical harmonics on the 3-sphere
المؤلفون: Achour, J. Ben, Huguet, E., Queva, J., Renaud, J.
المصدر: J. Math Phys. 57, 023504 (2016)
سنة النشر: 2015
المجموعة: Mathematics
General Relativity and Quantum Cosmology
High Energy Physics - Theory
Mathematical Physics
مصطلحات موضوعية: Mathematical Physics, General Relativity and Quantum Cosmology, High Energy Physics - Theory
الوصف: We build a family of explicit one-forms on $S^3$ which are shown to form a complete set of eigenmodes for the Laplace-de Rahm operator.
Comment: To appear in Journal of Math. Phys. A simpler basis is given, the proofs have been significantly simplified. 5 pages, Revtex
نوع الوثيقة: Working Paper
DOI: 10.1063/1.4940134
URL الوصول: http://arxiv.org/abs/1505.03426
رقم الأكسشن: edsarx.1505.03426
قاعدة البيانات: arXiv