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Space forms from the viewpoint of their geodesic spheres

Published online by Cambridge University Press:  17 April 2009

Toshiaki Adachi  and
Sadahiro Maeda
Toshiaki Adachi
Affiliation:
Department of Mathematics, Nagoya Institute of Technology, Gokiso, Nagoya 466–8555, Japan e-mail: adachi@math.kyy.nitech.ac.jp
Sadahiro Maeda
Affiliation:
Department of Mathematics, Shimane University, Matsue, Shimane 690–8504, Japan e-mail: smaeda@math.shimane-u.ac.jp
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Abstract

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In this paper, we focus our attention on the extrinsic shape of geodesics on geodesic spheres in a given Riemannian manifold M. We characterise real and complex space forms in the class of smooth Riemannian manifolds from this point of view.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 62 , Issue 2 , October 2000 , pp. 205 - 210
Copyright
Copyright © Australian Mathematical Society 2000

References

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