The spectrum of the Milnor-Gromoll-Meyer sphere

Kazuo YAMATO

doi:10.2969/jmsj/05420409

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Home > Journals > J. Math. Soc. Japan > Volume 54 > Issue 2 > Article

April, 2002 The spectrum of the Milnor-Gromoll-Meyer sphere

Kazuo YAMATO

J. Math. Soc. Japan 54(2): 409-445 (April, 2002). DOI: 10.2969/jmsj/05420409

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Abstract

The spectrum of the Milnor-Gromoll-Meyer sphere is given. For this purpose the system of orthogonal functions on the symplectic group $Sp(2)$ (isomorphic to the covering group of SO(5) $)$ is studied.

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Kazuo YAMATO. "The spectrum of the Milnor-Gromoll-Meyer sphere." J. Math. Soc. Japan 54 (2) 409 - 445, April, 2002. https://doi.org/10.2969/jmsj/05420409

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Published: April, 2002

First available in Project Euclid: 9 June 2008

zbMATH: 1040.58012

MathSciNet: MR1883525

Digital Object Identifier: 10.2969/jmsj/05420409

Subjects:

Primary: 58J50

Secondary: 35P20 , 43A75 , 57R60

Keywords: exotic sphere , spectral geometry

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J. Math. Soc. Japan

Vol.54 • No. 2 • April, 2002

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Kazuo YAMATO "The spectrum of the Milnor-Gromoll-Meyer sphere," Journal of the Mathematical Society of Japan, J. Math. Soc. Japan 54(2), 409-445, (April, 2002)

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