Fundamental Solution of Laplace's Equation in Hyperspherical Geometry

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

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Bibliographic Details
Main Author: Howard S. Cohl
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2011-11-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
Online Access:http://dx.doi.org/10.3842/SIGMA.2011.108