Opposite Antipodal Fundamental Solution of Laplace's Equation in Hyperspherical Geometry

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2011
• Main Author: Cohl, H.S.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2011
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/148085
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Opposite Antipodal Fundamental Solution of Laplace's Equation in Hyperspherical Geometry / H.S. Cohl // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 39 назв. — англ.

Due to the isotropy of d-dimensional hyperspherical space, one expects there to exist a spherically symmetric opposite antipodal fundamental solution for its corresponding Laplace-Beltrami operator. The R-radius hypersphere SdR with R>0, represents a Riemannian manifold with positive-constant sec...