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Space Forms of Grassmann Manifolds

Published online by Cambridge University Press:  20 November 2018

Joseph A. Wolf
Joseph A. Wolf*
Affiliation:
The Institute for A dvanced Study
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We shall consider the classification problem for space forms of (Riemannian manifolds which are covered by) real, complex, and quaternionic Grassmann manifolds. In the particular case of the real Grassmann manifold of oriented 1-dimensional subspaces of a real Euclidean space, this is the classical "spherical space form problem" of Clifford and Klein. We shall not consider space forms of the Cayley projective plane because it is easy to see that there are no non-trivial ones.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 15 , 1963 , pp. 193 - 205
Copyright
Copyright © Canadian Mathematical Society 1963

References

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