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Compact minimal surfaces in the Berger spheres

โœ Scribed by Francisco Torralbo


Publisher
Springer
Year
2011
Tongue
English
Weight
262 KB
Volume
41
Category
Article
ISSN
0232-704X

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Special Functions on the Sphere with App
โœ Frank Baginski ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 438 KB

A function which is homogeneous in x y z of degree n and satisfies V xx + V yy + V zz = 0 is called a spherical harmonic. In polar coordinates, the spherical harmonics take the form r n f n , where f n is a spherical surface harmonic of degree n. On a sphere, f n satisfies f n + n n + 1 f n = 0, whe