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Homogeneous Sphere Bundles and the Isotropic Riemann Manifolds

Published online by Cambridge University Press:  22 January 2016

Tadashi Nagano
Tadashi Nagano*
Affiliation:
Mathematical Institute College of General Education University of Tokyo
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Let M be a connected metric space and H an isometry group of M which leaves fixed a point p in M. M is said H isotropic at p when, for any two points q and r of M at the same distance from p, there exists an isometry in H which carries q to r. When H coincides with the maximum isometry group leaving p fixed, M is said merely isotropic at p.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 15 , August 1959 , pp. 29 - 55
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1959

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